On type IIB vacua with varying coupling constant

Nuclear Physics B

Volumn 558, Issue 1-2, 1999, Pages 178-204

  Berglund, P ^a   Klemm, A ^a,b   Mayr, P ^a,c   Theisen, S ^a,d  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

^c CERN   (Switzerland)

^d UNIVERSITY OF MUNICH   (Germany)

Author keywords

CHL strings; F theory

Indexed keywords

EID: 0033523556     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00420-4     Document Type: Article

References (49)

1. C. Vafa, Nucl. Phys. B 469 (1996) 403.
2. D.R. Morrison and C. Vafa, Nucl. Phys. B 473 (1996) 74.
3. D.R. Morrison and C. Vafa, Nucl. Phys. B 476 (1996) 437.
4. P. Candelas and A. Font, Nucl. Phys. B 511 (1998) 296.
5. M. Bershadsky et al., Nucl. Phys. B 481 (1996) 215.
6. P. Aspinwall and D.R. Morrison, Nucl. Phys. B 503 (1997) 533.
7. W. Lerche and S. Stieberger, Prepotential, Mirror Map and F-theory on K3, hep-th/9804176.
8. S. Chaudhuri, G. Hockney and J.D. Lykken, Phys. Rev. Lett. 75 (1995) 2264.
9. C.M. Hull and P.K. Townsend, Nucl. Phys. B 438 (1995) 109.
10. A. Sen and S. Sethi, Nucl. Phys. B 499 (1997) 45.
11. E. Witten, Toroidal Compactification Without Vector Structure, hep-th/9712028.
12. M. Bershadsky, T. Pantev and V. Sadov, hep-th/9805056.
13. S. Chaudhuri and J. Polchinski, Phys. Rev. (1995) 7168.
14. W. Lerche, R. Minasian, C. Schweigert and S. Theisen, Phys. Lett. B 424 (1998).
15. S. Chaudhuri and D. Lowe, Nucl. Phys. B 459 (1996) 113.
16. S. Chaudhuri and D. Lowe, Nucl. Phys. B 469 (1996) 21.
17. A. Sen, Nucl. Phys. B 475 (1996) 562.
18. Victor V. Batyrev, Duke Math. J. 69 (1993) 349.
19. D. Cox, The Homogeneous Coordinate Ring of a Toric Variety, alg-geom/9210008.
20. I.V. Dolgachev, Mirror Symmetry for Lattice Polarized K3 Surfaces, alg-geom/9502005.
21. A. Klemm, W. Lerche and P. Mayr, Phys. Lett. B 357 (1995) 313.
22. A.C. Avram, M. Kreuzer, M. Mandelberg and H. Skarke, Nucl. Phys. B 494 (1997) 567.
23. S. Katz, P. Mayr and C. Vafa, Adv. Theor. Math. Phys. 1 (1998) 53.
24. J.H. Schwarz and A. Sen, Phys. Lett. B 357 (1995) 323.
25. V.V. Nikulin, Trans. Moscow Math. Soc. 2 (1980) 71.
26. S. Kachru, A. Klemm and Y. Oz, Calabi-Yau Duals for CHL Strings, hep-th/9712035.
27. P. Candelas and H. Skarke, Phys. Lett. B 413 (1997) 63
28. J. Park, Phys. Lett. B 418 (1998) 91.
29. V. Batyrev, J. Alg. Geom. 3 (1994); Duke Math. J. 69 (1993) 349
30. V. Batyrev, J. Alg. Geom. 3 (1994); Duke Math. J. 69 (1993) 349
31. M.B. Green and J.H. Schwarz, Nucl. Phys. B 254 (1985) 327.
32. E. Witten, Nucl. Phys. B 268 (1986) 79.
33. S. Kachru and C. Vafa, Nucl. Phys. B 450 (1995) 69.
34. A. Klemm, P. Mayr and C. Vafa, BPS states of exceptional non-critical strings, to appear in the Proceedings of the Conference Advanced Quantum Field Theory, (in memory of Claude Itzykson), CERN-TH-96-184, hep-th/9607139.
35. G. Aldazabal, A. Font, L. Ibanez and A.M. Uranga, Nucl. Phys. B 492 (1997) 119
36. P. Candelas, E. Perevalov and G. Rajesh, Nucl. Phys. B 502 (1997) 594.
37. W. Barth, C. Peters and A. Van de Ven, Compact Complex Surfaces (Springer, Berlin, 1984).
38. E. Horikawa, On the periods of enriques surfaces I, Math. Ann. 234 (1978) 73.
39. V.V. Nikulin, On the quotient groups of the automorphism groups of hyperbolic forms by the subgroups generated by 2-reflections, J. Sov. Math. 22 (1983) 1401
40. V.A. Gritsenko and V.V. Nikulin, K3 Surfaces, Lorentzian Kac-Moody Algebras and Mirror Symmetry, alg-geom/951008.
41. E. Looijenga, Invent. Math. 38 (1977) 17; 61 (1980) 1.
42. E. Looijenga, Invent. Math. 38 (1977) 17; 61 (1980) 1.
43. R. Friedman, J. Morgan and E. Witten, Commun. Math. Phys. 187 (1997) 679.
44. N. Koblitz, Introduction to Elliptic Curves and Modular Forms (Springer, Berlin, 1984).
45. D. Husemöller, Elliptic Curves (Springer, Berlin, 1986).
46. B. Schoeneberg, Elliptic Modular Functions (Springer, Berlin, 1974).
47. D.S. Kubert, Proc. London Math. Soc. 33 (1976) 193.
48. K. Kodaira, On compact analytic surfaces, Ann. of Math. 77 (1963) 563.
49. J.J. Lehner, Discontinuous groups and automorphic functions, Math. Surveys 8, AMS (1982) c1964.