A class of N = 1 dual string pairs and its modular superpotential

International Journal of Modern Physics A

Volumn 12, Issue 32, 1997, Pages 5847-5865

  Curio, Gottfried ^a   Lüst, Dieter ^a  

^a HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000151931     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X97003066     Document Type: Article

References (55)

1. S. Kachru and G. Vafa, Nucl. Phys. B450, 69 (1995), hep-th/9505105.
2. S. Ferrara, J. A. Harvey, A. Strominger and C. Vafa, Phys. Lett. B361, 59 (1995), hep-th/9505162.
3. B. DeWitt, V. Kaplunovsky, J. Louis and D. Lüst, Nucl. Phys. B451, 53 (1995), hep-th/9504006;
4. I. Antoniadis, S. Ferrara, E. Gava, K. S. Narain and T. R. Taylor, Nucl. Phys. B447, 35 (1995), hep-th/9504034;
5. J. Harvey and G. Moore, Nucl. Phys. B463, 315 (1996), hep-th/9510182.
6. V. Kaplunovsky, J. Louis and S. Theisen, Phys. Lett. B357, 71 (1995), hep-th/9506110;
7. A. Klemm, W. Lerche and P. Mayr, Phys. Lett. B357, 313 (1995), hep-th/9506112;
8. P. Aspinwall and J. Louis, Phys. Lett. B369, 233 (1996), hep-th/9510234;
9. P. Aspinwall, Phys. Lett. B371, 231 (1996), hep-th/9511171.
10. G. Lopes Cardoso, -D. Lüst and T. Mohaupt, Nucl. Phys. B455, 131 (1995), hep-th/9507113;
11. S. Kachru, A. Klemm, W. Lerche, P. Mayr and C. Vafa, Nucl. Phys. B459, 537 (1996), hep-th/9508155;
12. I. Antoniadis and H. Partouche, Nucl. Phys. B460, 470 (1996), hep-th/9509009;
13. A. Klemm, P. Mayr, W. Lerche, C. Vafa and N. Warner, Nucl. Phys. B477, 746 (1996), hep-th/9604034.
14. I. Antoniadis, E. Gava, K. S. Narain and T. R. Taylor, Nucl. Phys. B455, 109 (1995), hep-th/9507115;
15. Phys. Lett. B366, 131 (1996), hep-th/9509042;
16. Phys. Lett. B368, 78 (1996), hep-th/9509146.
17. G. L. Cardoso, G. Curio, D. Lüst, T. Mohaupt and S.-J. Rey, Nucl. Phys. B464, 18 (1996), hep-th/9512129;
18. G. L. Cardoso, G. Curio, D. Lüst and T. Mohaupt, Phys. Lett. B382, 241 (1996), hep-th/9603108;
19. G. L. Cardoso, G. Curio and D. Lüst, "Perturbative couplings and modular forms in N = 2 string models with a Wilson line," hep-th/9608154, Nucl. Phys. B491, 147 (1997), hep-th/9608154.
20. M. Duff and R. Khuri, Nucl. Phys. B411, 473 (1994), hep-th/9305042;
21. C. Hull and P. Townsend, Nucl. Phys. B438, 109 (1995), hep-th/9410167.
22. C. Vafa and E. Witten, "Dual string pairs with N = 1 and N = 2 supersymmetry in four dimensions," hep-th/9507050
23. ; J. A. Harvey, D. A. Lowe and A. Strominger, Phys. Lett. B362, 65 (1995), hep-th/9506168;
24. S. Kachru and E. Silverstein, Nucl. Phys. B463, 369 (1996), hep-th/9511228
25. ; H. B. Gao, Phys. Lett. B3T4, 57 (1996), hep-th/9512060.
26. C. Vafa, Nucl. Phys. B469, 493 (1996), hep-th/9602022.
27. E. Witten, Nucl. Phys. B474, 343 (1996), hep-th/9604030.
28. R. Donagi, A. Grass! and E. Witten, Mod. Phys. Lett. A11, 2212 (1996), hep-th/9607091.
29. R. Gopakumar and S. Mukhi, "Orbifold and orientifold compactifications of F-theory and M-theory to six and four dimensions," hep-th/9607057.
30. O. J. Ganor, "A note on the zeroes of superpotentials in F-theory," hep-th/9612077.
31. I. Brunner and R. Schimmrigk, Phys. Lett. B387, 750 (1996), hep-th/9606148;
32. I. Brunner, M. Lynker and R. Schimmrigk, Nucl. Phys. B498,156 (1997), hep-th/9610195;
33. P. Mayr, "Mirror symmetry, N = 1 superpotentials and tensionless strings on Calabi-Yau fourfolds," hep-th/9610162;
34. S. Katz and C. Vafa, "Geometric engineering of N = 1 quantum field theories," hep-th/9611090;
35. M. Bershadsky, A. Johansen, T. Pantev, V. Sadov and C. Vafa, ".F-theory, geometric engineering and N = 1 dualities," hep-th/9612052
36. ; K. Dasgupta and S. Mukhi, "A note on low-dimensional string compactifications," hep-th/9612188;
37. A. Klemm, B. Lian, S. Roan and S. T. Yau, "Calabi-Yau fourfolds for M-theory and F-theory compactifications," hep-th/9701023.
38. D. R. Morrison and C. Vafa, Nucl. Phys. B473, 74 (1996), hep-th/9602114
39. ;D. R. Morrison and C. Vafa, Nucl. Phys. B476, 437 (1996), hep-th/9603161;
40. R. Gopakumar and S. Mukhi, "Orbifold and orientifold compactifications of F-theory and M-theory to six and four dimensions," hep-th/9607057.
41. S. Ferrara, D. Lüst, A. Shapere and S. Theisen, Phys. Lett. B225, 363 (1989);
42. M. Cvetic, A. Font, L. Ibanez, D. Lüst and F. Quevedo, Nucl. Phys. B361,194 (1991).
43. S. Sethi, G. Vafa and E. Witten, Nucl. Phys. B480, 213 (1996), hep-th/9606122.
44. K. Mohri, "F-theory vacua in four dimensions and toric threefolds," hep-th/9701147.
45. C. Borcea, "K3 surfaces with involution and mirror pairs of Calabi-Yau manifolds," in Essays on Mirror Symmetry II, AMS/IP Studies in Adv. Math., Vol. 1, 1997.
46. R. Friedman, J. Morgan and E. Witten, "Vector bundles and F-theory," hep-th/9701162.
47. M. Bershadsky, A. Johansen, T. Pantev and V. Sadov, "On four-dimensional compactifications of F-theory," hep-th/9701165.
48. E. Witten, "Five-brane effective action in M-theory," hep-th/9610234.
49. A. Klemm, P. Mayr and C. Vafa, "BPS states of exceptional noncritical strings," hep-th/9607139.
50. M. R. Douglas and V. A. Kazakov, Phys. Lett. B319, 219 (1993), hep-th/9305047.
51. E. Witten, "On S-duality in Abelian gauge theory," hep-th/9505186.
52. E. Cremmer, S. Ferrara, L. Girardello and A. van Proyen, Nucl. Phys. B212, 413 (1983).
53. S. Ferrara, C. Kounnas, D. Lüst and F. Zwirner, Nucl. Phys. B365, 431 (1991).
54. A. Font, L. Ibanez, D. Lüst and F. Quevedo, Phys. Lett. B249, 35 (1990).
55. R. Miranda and U. Persson, Math. Z. 193, 537 (1986).