The twelve-dimensional super-(2 + 2)-brane

Nuclear Physics B

Volumn 492, Issue 1-2, 1997, Pages 249-277

  Hewson, Stephen ^a   Perry, Malcolm ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

p branes; Superspaces; Supersymmetry

Indexed keywords

EID: 0031565509     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)80035-1     Document Type: Article

References (58)

1. [1] For recent reviews see: M. Duff, Supermembranes, hep-th/9611203; M. Duff, M-theory (the theory formerly known as strings), hep-th/9608117; John Schwarz, Lectures on superstring and M-theory dualities, hep-th/9607201.
2. [1] For recent reviews see: M. Duff, Supermembranes, hep-th/9611203; M. Duff, M-theory (the theory formerly known as strings), hep-th/9608117; John Schwarz, Lectures on superstring and M-theory dualities, hep-th/9607201.
3. [1] For recent reviews see: M. Duff, Supermembranes, hep-th/9611203; M. Duff, M-theory (the theory formerly known as strings), hep-th/9608117; John Schwarz, Lectures on superstring and M-theory dualities, hep-th/9607201.
4. [2] E. Witten, Five-branes and M-theory on an orbifold, Nucl. Phys. B 463 (1996) 383.
5. [3] M. Duff, P. Howe, T. Inami and K. Stelle, Superstrings in D = 10 from supermembranes in D = 11, Phys. Lett. B 191 (1987) 70.
6. [4] P. Horava and E. Witten, Heterotic and type I string dynamics from eleven dimensions, Nucl. Phys. B 460 (1996) 506.
7. [5] C. Vafa, Evidence for F-Theory, Nucl. Phys. B 469 (1996) 403.
8. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
9. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
10. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
11. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
12. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
13. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
14. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
15. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
16. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
17. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
18. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
19. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
20. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
21. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
22. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
23. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
24. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
25. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
26. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
27. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
28. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
29. [6] R. Gopakumar and S. Mukhi, Orbifold and orientifold compactifications of F-theory and M-theory to six dimensions and four dimensions, Nucl. Phys B 479 (1996) 260; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - II, Nucl. Phys. B 476 (1996) 195; A. Sen, F-theory and orientifolds, Nucl. Phys. B 475 (1996) 562; S. Ferrara, R. Minasian and A. Sagnotti, Low-Energy Analysis of M-and F-Theories on Calabi-Yau Threefolds, Nucl. Phys. B 474 (1996) 323; D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds - I, Nucl. Phys. B 473 (1996) 74; E. Witten, Phase Transitions in M-Theory and F-Theory, Nucl. Phys. B 471 (1996) 195; V. Sadov, Generalized Green-Schwarz mechanism in F-theory, Phys. Lett. B 388 (1996) 45; D. Jatkar and R. Kalyana, F-theory from Dirichlet three-branes, Phys. Lett. B 388 (1996) 283; J. Blum and A. Zaffaroni, An Orientifold from F-theory, Phys. Lett. B 387 (1996) 71; T. Banks, M. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278; I. Brunner and R. Schimmrigk, F-theory on Calabi-Yau fourfolds, Phys. Lett. B 387 (1996) 750; K. Dasgupta and S. Mukhi, F-theory at constant coupling, Phys. Lett. B 385 (1996) 125; G. Aldazabal, A. Font, L. Ibanez and A. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B (1997), to be published, hep-th/9607121; A. Dabholkar and J. Park, A Note on orientifolds and F-theory, hep-th/9607041; S. Ketov, From N = 2 strings to F-and M-theory, Nucl. Phys. Proc. Suppl. 52A (1997) 335, hep-th/9606142; P. Candelas, E. Perevalov and G. Rajesh, F-theory duals of non-perturbative heterotic E(8)×E(8) vacua in six dimensions, hep-th/9606133; M. Li, Gluino condensation in F-theory, hep-th/9606091; J. Blum, Nucl. Phys. B 486 (1996) 34, hepth/9608053; J. Park, F-theory orientifolds, M-theory orientifolds, and twisted strings, Orientifold and F-theory duals of the CHL strings, hepth/9611119; I. Brunner, M. Lynker and R. Schimmrigk, Unification of M-theory and F-theory Calabi-Yau fourfold vacua, hepth/9610195; M. Bershadsky and A. Johansen, hepth/9610111; G.L. Cardoso, G. Curio, D. Lust and T. Mohaupt, Colliding singularities in F-theory and phase transitions, On the duality between the heterotic string and F-theory in eight dimensions, Phys. Lett. B 389 (1996) 479, hepth/9609111; A. Johansen, A comment on BPS states in F-theory in eight dimensions, hepth/9608186; I. Bandos, String-like description of gravity and possible applications for F theory, hepth/9608093.
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