Non-BPS branes on a Calabi-Yau threefold and Bose-Fermi degeneracy

Journal of High Energy Physics

Volumn 4, Issue 2, 2000, Pages 1-15

  Mihailescu, Mihail ^c   Oh, Kyungho ^a,b   Tatar, Radu ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF MISSOURI ST LOUIS   (United States)

^c BROWN UNIVERSITY   (United States)

Author keywords

D branes; Superstrings and Heterotic Strings

Indexed keywords

EID: 0042926267     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (60)

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34. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
35. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
36. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
37. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
38. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
39. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
40. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
41. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
42. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
43. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
44. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
45. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
46. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
47. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
48. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
49. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
50. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
51. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
52. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and scale renormalization in dual theories, Nucl. Phys. B 94 (1975) 221; C. Callan, C. Lovelace, C. Nappi and S. Yost, Adding holes and crosscaps to the superstring, Nucl. Phys. B 293 (1987) 83; M. Bianchi and A. Sagnotti, On the systematics of open string theories, Phys. Lett. B 247 (1990) 517; Twist symmetry and open string Wilson lines, Nucl. Phys. B 361 (1991) 519; P. Hořava, Strings on world sheet orbifolds, Nucl. Phys. B 327 (1989) 461; M. Li, Boundary states of D-branes and Dy-strings, Nucl. Phys. B 460 (1996) 351 [hep-th/9510161]; H. Ooguri, Y. Oz and Z. Yin, D-branes on Calabi-Yau spaces and their mirrors, Nucl. Phys. B 477 (1996) 407 [hep-th/9606112]; K. Becker, M. Becker, D. Morrison, H. Ooguri, Y. Oz and Z. Yin, Supersymmetric cycles in exceptional holonomy manifolds and calabi-yau 4-folds, Nucl. Phys. B 480 (1996) 225 [hep-th/9608116]; M. Kato and T. Okada, D-branes on group manifolds, Nucl. Phys. B 499 (1997) 583 [hep-th/9612148]; S. Stanciu, D-branes in Kazama-Suzuki models, Nucl. Phys. B 526 (1998) 295 [hep-th/9708166]; A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186]; J. Fuchs and C. Schweigert, Branes: from free fields to general backgrounds, Nucl. Phys. B 530 (1998) 99 [hep-th/9712257]; S. Stanciu and A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, J. High Energy Phys. 06 (1998) 010 [hep-th/9805006]; M. Gutperle and Y. Satoh, D-branes in gepner models and supersymmetry, Nucl. Phys. B 543 (1999) 73 [hep-th/9808080]; F. Hussain, R. Iengo, C. Nunez and C. A. Scrucca, Interaction of moving D-branes on orbifolds, Phys. Lett. B 409 (1997) 101 [hep-th/9706186]; M. Bertolini, R. Iengo and C. A. Scrucca, Electric and magnetic interaction of dyonic D-branes and odd spin structure, Nucl. Phys. B 522 (1998) 193 [hep-th/9801110]; M. Bertolini, P. Fre, R. Iengo and C.A. Scrucca, Black holes as D3-branes on calabiyau threefolds, Phys. Lett. B 431 (1998) 22 [hep-th/9803096]; P.D. Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Classical p-branes from boundary state, Nucl. Phys. B 507 (1997) 259 [hep-th/9707068]; M. Billo, P. Di Vecchia, M. Frau, A. Lerda, I. Pesando, R. Russo and S. Sciuto, Microscopic string analysis of the D0-D8 brane system and dual R-R states, Nucl. Phys. B 526 (1998) 199 [hep-th/9802088]; A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
53. C. Lovelace, Pomeron form-factors and dual Regge cuts, Phys. Lett. B 34 (1971) 500; L. Clavelli and J.A. Shapiro, Pomeron factorization in general dual models, Nucl. Phys. B 57 (1973) 490; M. Ademollo et al., Soft dilations and
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