Stable singularities in string theory

Communications in Mathematical Physics

Volumn 178, Issue 1, 1996, Pages 115-134

  Aspinwall, Paul S ^a   Morrison, David R ^b   Gross, Mark ^a  

^a Department of Population Medicine and Diagnostic Sciences   (United States)

^b DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011453563     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02104911     Document Type: Article

References (32)

1. Artin, M., Mumford, D.: Some Elementary Results of Unirational Varieties which are not Rational. Proc. London Math. Soc. 25, 75-95 (1972)
2. Aspinwall, P.S.: The Moduli Space of N = 2 Superconformal Field Theories. Cornell 1994 preprint CLNS-94/1307, hep-th/9412115, to appear in the proceedings of the Trieste Summer School 1994
3. Aspinwall, P.S.: Resolution of Orbifold Singularities in String Theory. IAS 1994 preprint IASSNS-HEP-94/9, hep-th/9403123, to appear in "Essays on Mirror Manifolds 2"
4. Aspinwall, P.S., Greene, B.R.: On the Geometric Interpretation of N = 2 Superconformal Theories. Nucl. Phys. B437 (1995) 205-230
5. Aspinwall, P.S., Greene, B.R., Morrison, D.R.: The Monomial-Divisor Mirror Map. Internat. Math. Res. Notices 1993, 319-338
6. Aspinwall, P.S., Greene, B.R., Morrison, D.R.: Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory. Nucl. Phys. B416, 414-480 (1994)
7. Aspinwall, P.S., Morrison, D.R.: Chiral Rings Do Not Suffice: N=(2,2) Theories with Nonzero Fundamental Group. Phys. Lett. 334B, 79-86 (1994)
8. Batyrev, V.V.: Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties, J. Alg. Geom. 3, 493-535 (1994)
9. Bayer, D., Stillman, M.: Macaulay: A System for Computation in Algebraic Geometry and Commutative Algebra. Download from Zariski.harvard.edu
10. Borisov, L.: Towards the Mirror Symmetry for Calabi-Yau Complete Intersections in Gorenstein Toric Fano Varieties. Michigan 1993 preprint, alg-geom/9310001
11. Bott, R., Tu, L.W.: Differential Forms in Algebraic Topology. Berlin, Heidelberg, New York: Springer 1982
12. Candelas, P., de la Ossa, X., Font, A., Katz, S., Morrison, D.R.: Mirror Symmetry for Two Parameter Models - I. Nucl. Phys. B416, 481-562 (1994)
13. Candelas, P., de la Ossa, X.C., Green, P.S., Parkes, L.: A Pair of Calabi-Yau Manifolds as an Exactly Soluble Superconformal Theory Nucl. Phys. B359, 21-74 (1991)
14. Candelas, P., Green, P., Hübsch, T.: Rolling Among Calabi-Yau Vacua. Nucl. Phys. B330, 49-102 (1990)
15. Cecotti, S., Vafa, C.: Exact Results for Supersymmetric a Models. Phys. Rev. Lett. 68, 903-906 (1992)
16. Clemens, H.: Double Solids. Advances in Math. 47, 107-230 (1983)
17. n Models with Quarks Nucl. Phys. B152, 125-144 (1979)
18. Dixon, L., Harvey, J.A., Vafa, C., Witten, E.: Strings on Orbifolds. Nucl. Phys. B261, 678-686 (1985) and B274, 285-314 (1986)
19. Dixon, L., Harvey, J.A., Vafa, C., Witten, E.: Strings on Orbifolds. Nucl. Phys. B261, 678-686 (1985) and B274, 285-314 (1986)
20. Dolgachev, I., Gross, M.: Elliptic Threefolds I: Ogg-Shafarevich Theory. J. Alg. Geom. 3 39-80 (1994)
21. Green, M., Schwarz, J., Witten, E.: Superstring Theory. Cambridge: Cambridge University Press, 1987, 2 volumes
22. Grothendieck, A.: Le Groupe de Brauer, I, II, III, In: Dix Exposés sur la Cohomologie des Schémas. Amsterdam: North Holland, 1968, pp. 46-188
23. Harris, J., Tu, L.: On Symmetric and Skew-symmetric Determinantal Varieties. Topology 23, 71-84 (1984)
24. Milne, J.: Étale Cohomology. Princeton University Press, 1980
25. Morrison, D.R., Plesser, M.R.: Summing the Instantons: Quantum Cohomology and Mirror Symmetry in Toric Varieties. Duke and IAS 1994 preprint DUKE-TH-94-78, IASSNS-HEP-94/82, hep-th/9412236, to appear in Nucl. Phys. B
26. Strominger, A., Witten, E.: New Manifolds for Superstring Compactification, Commun. Math. Phys. 101, 341-361 (1985)
27. Vafa C.: Modular Invariance and Discrete Torsion on Orbifolds. Nucl. Phys. B273, 592-606 (1986)
28. Vafa, C., Warner, N.: Catastrophes and the Classification of Conformal Theories. Phys. Lett 218B, 51-58 (1989)
29. Vafa, C., Witten, E.: On Orbifolds with Discrete Torsion. J. Geom. Phys. 15, 189-214 (1995)
30. Witten, E.: On the Structure of the Topological Phase of Two Dimensional Gravity, Nucl. Phys. B340, 281-332 (1990)
31. Witten, E.: Mirror Manifolds and Topological Field Theory. In: S.-T. Yau (ed.) Essays on Mirror Manifolds. Hong Kong International Press, 1992
32. Witten, E.: Phases of N = 2 Theories in Two Dimensions. Nucl. Phys. B403, 159-222 (1993)