Matrix models, topological strings, and supersymmetric gauge theories

Nuclear Physics B

Volumn 644, Issue 1-2, 2002, Pages 3-20

  Dijkgraaf, Robbert ^a   Vafa, Cumrun ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037064465     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(02)00766-6     Document Type: Article

References (38)

1. G. 't Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461.
2. P. Ginsparg, G.W. Moore, Lectures on 2D gravity and 2D string theory, hep-th/9304011.
3. P. Di Francesco, P. Ginsparg, J. Zinn-Justin, 2D gravity and random matrices, Phys. Rep. 254 (1995) 1, hep-th/9306153.
4. M. Kontsevich, Intersection theory on the moduli space of curves and the matrix airy function, Commun. Math. Phys. 147 (1992) 1.
5. E. Witten, On the structure of the topological phase of two-dimensional gravity, Nucl. Phys. B 340 (1990) 281.
6. T. Banks,W. Fischler, S.H. Shenker, L. Susskind, M-theory as a matrix model: a conjecture, Phys. Rev. D 55 (1997) 5112, hep-th/9610043.
7. O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri, Y. Oz, Large N field theories, string theory and gravity, Phys. Rep. 323 (2000) 183, hep-th/9905111.
8. R. Gopakumar, C. Vafa, On the gauge theory/geometry correspondence, Adv. Theor. Math. Phys. 3 (1999) 1415, hep-th/9811131.
9. C. Vafa, Superstrings and topological strings at large N, J. Math. Phys. 42 (2001) 2798, hep-th/0008142.
10. F. Cachazo, K.A. Intriligator, C. Vafa, A large N duality via a geometric transition, Nucl. Phys. B 603 (2001) 3, hep-th/0103067.
11. J.D. Edelstein, K. Oh, R. Tatar, Orientifold, geometric transition and large N duality for SO/Sp gauge theories, JHEP 0105 (2001) 009, hep-th/0104037.
12. K. Dasgupta, K. Oh, R. Tatar, Geometric transition, large N dualities and MQCD dynamics, Nucl. Phys. B 610 (2001) 331, hep-th/0105066;
13. K. Dasgupta, K. Oh, R. Tatar, Open/closed string dualities and Seiberg duality from geometric transitions in M-theory, hep-th/0106040;
14. K. Dasgupta, K. Oh, R. Tatar, Geometric transition versus cascading solution, JHEP 0201 (2002) 031, he-pth/0110050.
15. F. Cachazo, K.A. Intriligator, C. Vafa, A large N duality via a geometric transition, Nucl. Phys. B 603 (2001) 3, hep-th/0103067.
16. F. Cachazo, B. Fiol, K.A. Intriligator, S. Katz, C. Vafa, A geometric unification of dualities, Nucl. Phys. B 628 (2002) 3, hep-th/0110028.
17. F. Cachazo, C. Vafa, N = 1 and N = 2 geometry from fluxes, hep-th/0206017.
18. H. Ooguri, C. Vafa, Worldsheet derivation of a large N duality, hep-th/0205297.
19. 2 manifolds, mirror symmetry, and geometric engineering, hep-th/0110171.
20. D.E. Diaconescu, B. Florea, A. Grassi, Geometric transitions and open string instantons, hep-th/0205234.
21. M. Aganagic, M. Marino, C. Vafa, All loop topological string amplitudes from Chern-Simons theory, hep-th/0206164.
22. D.E. Diaconescu, B. Florea, A. Grassi, Geometric transitions, del Pezzo surfaces and open string instantons, hep-th/0206163.
23. S. Kachru, S. Katz, A.E. Lawrence, J. McGreevy, Open string instantons and superpotentials, Phys. Rev. D 62 (2000) 026001, hep-th/9912151.
24. M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes, Commun. Math. Phys. 165 (1994) 311, hep-th/9309140.
25. E. Witten, Chern-Simons gauge theory as a string theory, hep-th/9207094.
26. M. Bertola, B. Eynard, J. Harnad, Partition functions for matrix models and isomonodromic tau functions, nlin.SI/0204054.
27. G. Akemann, Higher genus correlators for the Hermitian matrix model with multiple cuts, Nucl. Phys. B 482 (1996) 403, hep-th/9606004.
28. S.R. Das, A. Jevicki, String field theory and physical interpretation of D = 1 strings, Mod. Phys. Lett. A 5 (1990) 1639.
29. A. Morozov, Matrix models as integrable systems, hep-th/9502091.
30. S.H. Shenker, The strength of nonperturbative effects in string theory, in: Proc. Random Surfaces and Quantum Gravity, Cargese, 1990, pp. 191-200.
31. M. Bershadsky, W. Lerche, D. Nemeschansky, N.P. Warner, Extended N = 2 superconformal structure of gravity and W gravity coupled to matter, Nucl. Phys. B 401 (1993) 304, hep-th/9211040.
32. R. Dijkgraaf, Intersection theory, integrable hierarchies and topological field theory, in: Cargese Summer School on New Symmetry Principles in Quantum Field Theory, 1991, hep-th/9201003.
33. A.B. Givental, Gromov-Witten invariants and quantization of quadratic Hamiltonians, math.AG/0108100.
34. A. Okounkov, R. Pandharipande, Gromov-Witten theory, Hurwitz theory, and completed cycle, math.AG/0204305.
35. D. Ghoshal, C. Vafa, c = 1 string as the topological theory of the conifold, Nucl. Phys. B 453 (1995) 121, hep-th/9506122.
36. R. Dijkgraaf, C. Vafa, in preparation.
37. P.B. Wiegmann, A. Zabrodin, Conformal maps and integrable hierarchies, hep-th/9909147.
38. S.Y. Alexandrov, V.A. Kazakov, I.K. Kostov, Time-dependent backgrounds of 2D string theory, hep-th/0205079.