Orbifold and orientifold compactifications of F-theory and M-theory to six and four dimensions

Nuclear Physics B

Volumn 479, Issue 1-2, 1996, Pages 260-284

  Gopakumar, Rajesh ^a   Mukhi, Sunil ^b  

^a PRINCETON UNIVERSITY   (United States)

^b TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030580255     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/0550-3213(96)00460-9     Document Type: Article

References (50)

1. [1] E. Witten, hep-th/9503124, Nucl. Phys. B 443 (1995) 85.
2. [2] C. Vafa, Evidence for F-Theory, hep-th/9602022, Nucl. Phys. B 469 (1996) 403.
3. [3] L. Dixon, J. Harvey, C. Vafa and E. Witten, Nucl. Phys. B 261 (1985) 678; B 274 (1986) 285.
4. [3] L. Dixon, J. Harvey, C. Vafa and E. Witten, Nucl. Phys. B 261 (1985) 678; B 274 (1986) 285.
5. [4] P. Horava, Nucl. Phys. B 327 (1989) 461.
6. [5] A. Sagnotti, Open Strings and Their Symmetry Groups, in Non-perturbative Quantum Field Theory, Cargèse 1987, ed. G. Mack et. al. (Pergamon, Oxford, 1988); P. Horava, Phys. Lett. B 231 (1989) 251; J. Dai, R.G. Leigh and J. Polchinski, Mod. Phys. Lett. A 4 (1989) 2073.
7. [5] A. Sagnotti, Open Strings and Their Symmetry Groups, in Non-perturbative Quantum Field Theory, Cargèse 1987, ed. G. Mack et. al. (Pergamon, Oxford, 1988); P. Horava, Phys. Lett. B 231 (1989) 251; J. Dai, R.G. Leigh and J. Polchinski, Mod. Phys. Lett. A 4 (1989) 2073.
8. [6] A. Sagnotti, Open Strings and Their Symmetry Groups, in Non-perturbative Quantum Field Theory, Cargèse 1987, ed. G. Mack et. al. (Pergamon, Oxford, 1988); P. Horava, Phys. Lett. B 231 (1989) 251; J. Dai, R.G. Leigh and J. Polchinski, Mod. Phys. Lett. A 4 (1989) 2073.
9. [6] P. Horava and E. Witten, hep-th/9510209, Nucl. Phys. B 460 ( 1996) 506.
10. [7] A. Sen, hep-th/9603113,Mod. Phys. Lett. A 11 (1996) 1339.
11. [8] K. Dasgupta and S. Mukhi, hep-th/9512196, Nucl. Phys. B 465 ( 1996) 399.
12. [9] E. Witten, hep-th/9512219, Nucl. Phys. B 463 (1996) 383.
13. [10] A. Sen, hep-th/9602010, Phys. Rev. D 53 (1996) 6725.
14. [11] A. Kumar and K. Ray, hep-th/9602144, Phys. Rev. D, to appear.
15. [12] A. Kumar and K. Ray, Compactification of M-Theory to Two Dimensions, hep-th/9604164, Phys. Lett. B 383 (1996) 160.
16. [13] B.S. Acharya, N = 1 M-Theory Heterotic Duality in Three-Dimensions and Joyce Manifolds, hep-th/9604133.
17. [14] B.S. Acharya, M-Theory Compactification and Two Brane/Five Brane Duality, hep-th/9605047.
18. [15] D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau threefolds (II), hep-th/9603161, Nucl. Phys. B 476 ( 1996) 437.
19. [16] A. Sen, F-Theory and Orientifolds, hep-th/9605150, Nucl. Phys. B 475 (1996) 562.
20. [17] K. Dasgupta and S. Mukhi, F-Theory at Constant Coupling, hep-th/9606044, Phys. Lett. B 385 (1996) 125.
21. [18] E. Gimon and J. Polchinski, hep-th/9601038, Phys. Rev. D, to appear.
22. [19] A. Dabholkar and J. Park, An Orientifold of Type IIB Theory on K3, hep-th/9602030, Nucl. Phys. B 472 ( 1996) 207.
23. [20] E. Gimon and C. Johnson, K3 Orientifolds, hep-th/9604129, Nucl. Phys. B 477 (1996) 715.
24. [21 ] A. Dabholkar and J. Park, Strings on Orientifolds, hep-th/9604178, Nucl. Phys. B 477 (1996) 701.
25. [22] M. Berkooz and R. Leigh, A D = 4 N = 1 Orbifold of Type I Strings, hep-th/9605049.
26. [23] M. Berkooz, R. Leigh, J. Polchinski, J.H. Schwarz, N. Seiberg and E. Witten, Anomalies, Dualities, and Topology of D = 6 N = 1 Superstring Vacua, hep-th/9605184, Nucl. Phys. B 475 (1996) 115.
27. [24] J. Polchinski, Tensors From K3 Orientifolds, hep-th/9606165.
28. [25] C. Voisin, in Journées de Géometrie Algébrique d'Orsay, Astérisque No. 218 (1993) 273.
29. [26] C. Borcea, K3 Surfaces with Involution and Mirror Pairs of Calabi-Yau Manifolds, to appear in Essays on Mirror Manifolds II.
30. [27] M. Bershadsky, K. Intriligator, S. Kachru, D. Morrison, V. Sadov and C. Vafa, Geometric Singularities and Enhanced Gauge Symmetries, hep-th/9605200.
31. [28] S. Ferrara, J. Harvey, A. Strominger and C. Vafa, hep-th/9505162, Phys. Lett. B 361 (1995) 59.
32. [29] M. Duff, R. Minasian and E. Witten, Evidence For Heterotic/Heterotic Duality, hep-th/9601036, Nucl. Phys. B 465 (1996) 413.
33. [30] D. Morrison and C. Vafa, Compactifications of F-Theory on Calabi-Yau Threefolds (I), hep-th/9602114, Nucl. Phys. B 473 (1996) 74.
34. [31] J.H. Schwarz and A. Sen, hep-th/9507027, Phys. Lett. B 357 (1995) 323.
35. [32] S. Chaudhuri and D. Lowe, hep-th/9508144, Nucl. Phys. B 459 (1995) 113.
36. [33] C. Vafa, Nucl. Phys. B 273 (1986) 592.
37. [34] A. Font, L.E. Ibanez and F. Quevedo, Phys. Lett. B 217 (1989) 272.
38. [35] C. Vafa and E. Witten, hep-th/9409188, J. Geom. Phys. 15 (1995) 189.
39. [36] P. Aspinwall and D. Morrison (appendix by M. Gross), hep-th/9503208, Comm. Math. Phys. 178 ) 115.
40. [37] V. Nikulin, in Proceedings of the International Congress of Mathematicians, Berkeley, (1986) p. 654.
41. [38] S. Sethi, C. Vafa and E. Witten, Constraints on Low-Dimensional String Compactifications, hep-/9606122, Nucl. Phys. B, to be published.
42. [39] A. Sen, Duality and Orbifolds, hep-th/9604070, Nucl. Phys. B 474 (1996) 361.
43. [40] D. Joyce, Compact Riemannian Manifolds with Holonomy Spin(7), to appear in Inv. Math.
44. [41] N. Seiberg and E. Witten, Comments on String Dynamics in Six-Dimensions, hep-th/9603003, Nucl. . B 471 (1996) 121.
45. [42] E. Witten, Phase Transitions in M-Theory and F-Theory, hep-th/9603150, Nucl. Phys. B 471 (1996).
46. [43] E. Witten, Non-perturbative Superpotentials in String Theory, hep-th/9604030, Nucl. Phys. B 474 (1996).
47. [44] I. Brunner and R. Schimmrigk, F-Theory on Calabi-Yau Fourfolds, hep-th/9606148, Phys. Lett. B 387) 750.
48. [45] E. Gimon and C. Johnson, Multiple Realizations of N = 1 Vacua in Six Dimensions, hep-th/9606176, . Phys. B 479 (1996) 285.
49. [46] J. Blum and A. Zaffaroni, An Orientifold from F-Theory, hep-th/9607019, Phys. Lett. B 387 (1996).
50. [47] A. Dabholkar and J. Park, A Note on Orientifolds and F-Theory, hep-th/9607041.