Mirror symmetry and the type II string

Nuclear Physics B - Proceedings Supplements

Volumn 46, Issue 1-3, 1996, Pages 146-153

  Morrison, David R ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 16144366750     PISSN: 09205632     EISSN: None     Source Type: Journal    
DOI: 10.1016/0920-5632(96)00016-3     Document Type: Article

References (37)

1. 1. P. S. Aspinwall and D. R. Morrison, U-duality and integral structures, Phys. Lett. B 355 (1995), 141-149.
2. 2. S. Cecotti, S. Ferrara, and L. Girardello, Geometry of type II superstrings and the moduli of superconformal field theories, Int. J. Mod. Phys. A 4 (1989), 2475-2529.
3. 3. B. de Wit and A. Van Proeyen, Hidden symmetries, special geometry and quaternionic manifolds, Int. J. Mod. Phys. D 3 (1994), 31-48.
4. 4. A. Strominger, Massless black holes and conifolds in string theory, Nucl. Phys. B 451 (1995), 96-108.
5. 5. P. S. Aspinwall and C. A. Lütken, Quantum algebraic geometry of superstring compactifications, Nucl. Phys. B 355 (1991), 482-510.
6. 6. D. R. Morrison, Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians, J. Amer. Math. Soc. 6 (1993), 223-247.
7. 7. P. Candelas, X. de la Ossa, A. Font, S. Katz, and D. R. Morrison, Mirror symmetry for two parameter models (I), Nucl. Phys. B 416 (1994), 481-562.
8. 8. D. R. Morrison, Making enumerative predictions by means of mirror symmetry, alggeom/9504013, Essays on Mirror Manifolds II, to appear.
9. 9. E. Witten, Dyons of charge eθ/2π, Phys. Lett. B 86 (1979), 283-287.
10. 10. L. J. Dixon, Some world-sheet properties of superstring compactifications, on orbifolds and otherwise, Superstrings, Unified Theories, and Cosmology 1987 (G. Furlan et al., eds.), World Scientific, Singapore, 1988, pp. 67-126.
11. 11. W. Lerche, C. Vafa, and N. P. Warner, Chiral rings in N=2 superconformal theories, Nucl. Phys. B 324 (1989), 427-474.
12. 4, Nucl. Phys. B 341 (1990), 383-402.
13. 13. B. R. Greene and M. R. Plesser, Duality in Calabi-Yau moduli space, Nucl. Phys. B 338 (1990), 15-37.
14. 14. M. Dine, P. Huet, and N. Seiberg, Large and small radius in string theory, Nucl. Phys. B 322 (1989), 301-316.
15. 15. J. Dai, R. Leigh, and J. Polchinski, New connections between string theories, Mod. Phys. Lett. A 4 (1989), 2073-2083.
16. 16. G. Papadopoulos and P. K. Townsend, Compactification of D=11 supergravity on spaces of exceptional holonomy, Phys. Lett. B 357 (1995), 300-306.
17. 2: I, II, J. Differential Geom., to appear.
18. 18. P. S. Aspinwall and D. R. Morrison, String theory on K3 surfaces, hep-th/9404151, Essays on Mirror Manifolds II, to appear.
19. 19. K. S. Narain, New heterotic string theories in uncompactified dimensions < 10, Phys. Lett. B 169 (1986), 41-46.
20. 20. K. S. Narain, M. H. Samadi, and E. Witten, A note on the toroidal compactification of heterotic string theory, Nucl. Phys. B 279 (1987), 369-379.
21. 21. N. Seiberg, Observations on the moduli space of superconformal field theories, Nucl. Phys. B 303 (1988), 286-304.
22. 22. D. D. Joyce, Compact Riemannian 8-manifolds with holonomy Spin(7), Invent. Math., to appear.
23. 23. S. L. Shatashvili and C. Vafa, Superstrings and manifold of exceptional holonomy, hep-th/9407025.
24. 24. N. Seiberg and E. Witten, Spin structures in string theory, Nucl. Phys. B 276 (1986), 272-290.
25. 25. C. Vafa, Modular invariance and discrete torsion on orbifolds, Nucl. Phys. B 273 (1986), 592-606.
26. 26. R. Dijkgraaf and E. Witten, Topological gauge theories and group cohomology, Commun. Math. Phys. 129 (1990), 393-429.
27. 27. P. S. Aspinwall and D. R. Morrison, Chiral rings do not suffice: N=(2,2) theories with nonzero fundamental group, Phys. Lett. B 334 (1994), 79-86.
28. 28. J. Distler and B. Greene, Some exact results on the superpotential from Calabi-Yau compactifications, Nucl. Phys. B 309 (1988), 295-316.
29. 29. P. S. Aspinwall, B. R. Greene, and D. R. Morrison, Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory, Nucl. Phys. B 416 (1994), 414-480.
30. 30. D. R. Morrison, Where is the large radius limit?, Strings '93 (M. B. Halpern, G. Rivlis, and A. Sevrin, eds.), World Scientific, Singapore, 1995, pp. 311-315.
31. 31. P. Griffiths, Periods of integrals on algebraic manifolds, I, II, Amer. J. Math. 90 (1968), 568-626, 805-865.
32. 32. R. Donagi and E. Markman, Cubics, integrable systems and Calabi-Yau threefolds, alg-geom/9408004, Hirzebruch's 65th Birthday Workshop in Algebraic Geometry, to appear.
33. 33. S. Ferrara and S. Sabharwal, Quaternionic manifolds for type II superstring vacua of Calabi-Yau spaces, Nucl. Phys. B 332 (1990), 317-332.
34. 34. B. R. Greene, D. R. Morrison, and A. Strominger, Black hole condensation and the unification of string vacua, Nucl. Phys. B 451 (1995), 109-120.
35. 35. K. Becker, M. Becker, and A. Strominger, Fivebranes, membranes and non-perturbative string theory, Nucl. Phys. B 456 (1995), 130-152.
36. 36. A. Landman, On the Picard-Lefschetz transformations, Trans. Amer. Math. Soc. 181 (1973), 89-126.
37. 37. W. Schmid, Variation of Hodge structure: The singularities of the period mapping, Invent. Math. 22 (1973), 211-319.