CFT's from Calabi-Yau four-folds

Nuclear Physics B

Volumn 584, Issue 1-2, 2000, Pages 69-108

  Gukov, Sergei ^a   Vafa, Cumrun ^b   Witten, Edward ^c  

^a PRINCETON UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

^c INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034683334     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(00)00373-4     Document Type: Article

References (40)

1. Kazama Y., Suzuki H. New N=2 superconformal field theories and superstring compactification. Mod. Phys. Lett. A. Vol. 4:1989;325.
2. Zamolodchikov A.B. JETP Lett. Vol. 46:1987;160.
3. Vafa C., Warner N.P. Catastrophes and the classification of conformal theories. Phys. Lett. B. Vol. 218:1989;51.
4. Martinec E. Algebraic geometry and effective Lagrangians. Phys. Lett. B. Vol. 217:1989;431.
5. Witten E. On flux quantization in M-theory and the effective action. J. Geom. Phys. Vol. 22:1997;1.
6. Sethi S., Vafa C., Witten E. Constraints on low-dimensional string compactifications. Nucl. Phys. B. Vol. 480:1996;213.
7. Greene B., Morrison D., Strominger A. Black hole condensation and the unification of string vacua. Nucl. Phys. B. Vol. 451:1995;109.
8. Becker K., Becker M. M-theory on eight manifolds. Nucl. Phys. B. Vol. 477:1996;155.
9. Tian G., Yau S.-T. Complete Kähler manifolds with zero Ricci curvature II. Inv. Math. Vol. 106:1991;27.
10. Candela P., de la Ossa X.C. Moduli space of Calabi-Yau manifolds. Nucl. Phys. B. Vol. 355:1991;455.
11. Lerche W. Fayet-Iliopoulos potentials from four-folds. JHEP. Vol. 9711:1997;004.
12. Witten E. Non-perturbative superpotentials in string theory. Nucl. Phys. B. Vol. 474:1996;343.
13. Bagger J., Witten E. Quantization of Newton's constant in certain supergravity theories. Phys. Lett. B. Vol. 115:1982;202.
14. Polchinski J., Strominger A. New vacua for type II string theory. Phys. Lett. B. Vol. 388:1996;736.
15. S. Gukov, to appear.
16. Kehagias A. New type IIB vacua and their F-theory interpretation. hep-th/9805131.
17. Klebanov I., Witten E. Superconformal field theory on three-branes at a Calabi-Yau singularity. Nucl. Phys. B. Vol. 536:1998;199.
18. Morrison D., Plesser R. Nonspherical horizons. hep-th/9810201.
19. Sethi S. A relation between N=8 gauge theories in three dimensions. JHEP. Vol. 9811:1998;003 hep-th/9809162.
20. Becker K., Becker M., Strominger A. Five-brane, membranes and nonperturbative string theory. Nucl. Phys. B. Vol. 456:1995;130.
21. Ooguri H., Vafa C. Summing up D-instantons. Phys. Rev. Lett. Vol. 77:1996;3296.
22. Seiberg N., Shenker S. Hypermultiplet moduli space and string compactification to three-dimensions. Phys. Lett. B. Vol. 388:1996;521.
23. Cecotti S., Vafa C. On classification of N=2 supersymmetric theories. Commun. Math. Phys. Vol. 158:1993;569.
24. Cecotti S., Fendley P., Intriligator K., Vafa C. A new supersymmetric index. Nucl. Phys. Vol. 386:1992;405.
25. Aharony O., Hanany A., Intriligator K., Seiberg N., Strassler M.J. Aspects of N=2 supersymmetric gauge theories in three-dimensions. Nucl. Phys. B. Vol. 499:1997;67.
26. Kutasov D. A comment on duality in N=1 supersymmetric non-abelian gauge theories. Phys. Lett. B. Vol. 351:1995;230.
27. Klemm A., Lerche W., Mayr P., Vafa C., Warner N. Self-dual strings and N=2 supersymmetric field theory. Nucl. Phys. B. Vol. 477:1996;746.
28. Fendley P., Mathur S.D., Vafa C., Warner N.P. Integrable deformations and scattering matrices for the N=2 supersymmetric discrete series. Phys. Lett. Vol. 243:1990;257.
29. Rabin J.M. Phys. Lett. B. Vol. 411:1997;274.
30. Schulze J., Warner N.P. BPS geodesics in N=2 supersymmetric Yang-Mills theory. Nucl. Phys. B. Vol. 498:1997;101.
31. A. Shapere, C.Vafa, work in progress.
32. Lerche W., Vafa C., Warner N.P. Chiral rings in N=2 superconformal theories. Nucl. Phys. B. Vol. 324:1989;427.
33. Intriligator K. Fusion residues. Mod. Phys. Lett. A. Vol. 6:1991;3543.
34. Lerche W., Warner N.P. Polytopes and solitons in integrable N=2 supersymmetric Landau-Ginzburge theories. Nucl. Phys. B. Vol. 358:1991;571.
35. Kapustin A., Strassler M. On mirror symmetry in three-dimensional Abelian gauge theories. JHEP. Vol. 9904:1999;021 hep-th/9902033.
36. 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. B. Vol. 359:1991;21.
37. Aspinwall P., Morrison D. Topological field theory and rational curves. Commun. Math. Phys. Vol. 151:1993;245.
38. Argyres P.C., Douglas M.R. New phenomena in SU(3) supersymmetric gauge theory. Nucl. Phys. B. Vol. 448:1995;93.
39. Griffiths P., Harris J. Principles of Algebraic Geometry. 1978;Wiley Interscience.
40. Alvarez-Gaumé L., Witten E. Nucl. Phys. B. Vol. 234:1983;269.