Adding flavor to Dijkgraaf-Vafa

Journal of High Energy Physics

Volumn 7, Issue 1, 2003, Pages 1025-1039

  McGreevy, John ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

1 N Expansion; D branes; Matrix Models; String Duality

Indexed keywords

EID: 23044468713     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/01/047     Document Type: Article

References (52)

1. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255].
2. R. Dijkgraaf and C. Vafa, On geometry and matrix models, Nucl. Phys. B 644 (2002) 21 [hep-th/0207106].
3. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
4. e.g. N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099];
5. P.C. Argyres and A.E. Faraggi, The vacuum structure and spectrum of N = 2 supersymmetric SU (N) gauge theory, Phys. Rev. Lett. 74 (1995) 3931 [hep-th/9411057];
6. A. Klemm, W. Lerche, S. Yankielowicz and S. Theisen, Simple singularities and N = 2 supersymmetric Yang-Mills theory, Phys. Lett. B 344 (1995) 169 [hep-th/9411048];
7. P.C. Argyres, M.R. Plesser and A.D. Shapere, The Coulomb phase of N = 2 supersymmetric QCD, Phys. Rev. Lett. 75 (1995) 1699 [hep-th/9505100];
8. c) gauge theories, Nucl. Phys. B 452 (1995) 283 [hep-th/9505075];
9. P.C. Argyres and A.D. Shapere, The vacuum structure of N = 2 superQCD with classical gauge groups, Nucl. Phys. B 461 (1996) 437 [hep-th/9509175].
10. F. Cachazo, K.A. Intriligator and C. Vafa, A large-N duality via a geometric transition, Nucl. Phys. B 603 (2001) 3 [hep-th/0103067].
11. T. Banks, M.R. Douglas and N. Seiberg, Probing F-theory with branes, Phys. Lett. B 387 (1996) 278 [hep-th/9605199].
12. O. Aharony, J. Sonnenschein, S. Yankielowicz and S. Theisen, Field theory questions for string theory answers, Nucl. Phys. B 493 (1997) 177 [hep-th/9611222].
13. M.R. Douglas, D.A. Lowe and J.H. Schwarz, Probing F-theory with multiple branes, Phys. Lett. B 394 (1997) 297 [hep-th/9612062].
14. O. Aharony, A. Fayyazuddin and J.M. Maldacena, The large-N limit of N = 2, 1 field theories from three-branes in F-theory, J. High Energy Phys. 07 (1998) 013 [hep-th/9806159].
15. D. Berenstein, E. Gava, J.M. Maldacena, K.S. Narain and H. Nastase, Open strings on plane waves and their Yang-Mills duals, hep-th/0203249.
16. E. Brezin, C. Itzykson, G. Parisi and J.B. Zuber, Planar diagrams, Commun. Math. Phys. 59 (1978) 35.
17. V.A. Kazakov, A simple solvable model of quantum field theory of open strings, Phys. Lett. B 237 (1990) 212.
18. C.-I. Tan, Generalized penner models and multicritical behavior, Phys. Rev. D 45 (1992) 2862.
19. J. Distler and C. Vafa, A critical matrix model at c = 1, Mod. Phys. Lett. A 6 (1991) 259.
20. C.-I. Tan, Logarithmic scaling violation and Bose condensation in one matrix models, Mod. Phys. Lett. A 6 (1991) 1373.
21. R. Gopakumar and C. Vafa, On the gauge theory/geometry correspondence, Adv. Theor. Math. Phys. 3 (1999) 1415 [hep-th/9811131].
22. A. Gorsky, Konishi anomaly and N = 1 effective superpotentials from matrix models, Phys. Lett. B 554 (2003) 185 [hep-th/0210281].
23. R. Argurio, V.L. Campos, G. Ferretti and R. Heise, Exact superpotentials for theories with flavors via a matrix integral, hep-th/0210291.
24. M. Mariño, Chern-Simons theory, matrix integrals and perturbative three-manifold invariants, hep-th/0207096.
25. L. Chekhov and A. Mironov, Matrix models vs. Seiberg-Witten/Whitham theories, Phys. Lett. B 552 (2003) 293 [hep-th/0209085].
26. N. Dorey, T.J. Hollowood, S. Prem Kumar and A. Sinkovics, Exact superpotentials from matrix models, J. High Energy Phys. 11 (2002) 039 [hep-th/0209089].
27. N. Dorey, T.J. Hollowood, S.P. Kumar and A. Sinkovics, Massive vacua of N = 1* theory and S-duality from matrix models, J. High Energy Phys. 11 (2002) 040 [hep-th/0209099].
28. N. Dorey, T.J. Hollowood and S.P. Kumar, S-duality of the Leigh-Strassler deformation via matrix models, J. High Energy Phys. 12 (2002) 003 [hep-th/0210239].
29. H. Fuji and Y. Ookouchi, Comments on effective superpotentials via matrix models, J. High Energy Phys. 12 (2002) 067 [hep-th/0210148].
30. F. Ferrari, On exact superpotentials in confining vacua, Nucl. Phys. B 648 (2003) 161 [hep-th/0210135].
31. D. Berenstein, Quantum moduli spaces from matrix models, Phys. Lett. B 552 (2003) 255 [hep-th/0210183].
32. R. Dijkgraaf, S. Gukov, V.A. Kazakov and C. Vafa, Perturbative analysis of gauged matrix models, hep-th/0210238.
33. H. Ooguri and C. Vafa, Worldsheet derivation of a large-N duality, Nucl. Phys. B 641 (2002) 3 [hep-th/0205297].
34. P. Di Francesco, P. Ginsparg and J. Zinn-Justin, 2-d gravity and random matrices, Phys. Rept. 254 (1995) 1 [hep-th/9306153].
35. Y. Ookouchi, N = 1 gauge theory with flavor from fluxes, hep-th/0211287.
36. I. Bena and R. Roiban, Exact superpotentials in N = 1 theories with flavor and their matrix model formulation, hep-th/0211075.
37. Y. Demasure and R.A. Janik, Effective matter superpotentials from Wishart random matrices, Phys. Lett. B 553 (2003) 105 [hep-th/0211082].
38. Y. Tachikawa, Derivation of the Konishi anomaly relation from Dijkgraaf- Vafa with (bi-)fundamental matters, hep-th/0211189.
39. B. Feng and Y.-H. He, Seiberg duality in matrix models, II, hep-th/0211234.
40. B. Feng, Seiberg duality in matrix model, hep-th/0211202.
41. R. Argurio, V.L. Campos, G. Ferretti and R. Heise, Baryonic corrections to superpotentials from perturbation theory, Phys. Lett. B 553 (2003) 332 [hep-th/0211249].
42. S.G. Naculich, H.J. Schnitzer and N. Wyllard, Matrix model approach to the N = 2 U(N) gauge theory with matter in the fundamental representation, J. High Energy Phys. 01 (2003) 015 [hep-th/0211254].
43. I. Bena, R. Roiban and R. Tatar, Baryons, boundaries and matrix models, hep-th/0211271.
44. f matrix models, hep-th/0212095.
45. F. Cachazo, private communication.
46. F. Cachazo and C. Vafa, N = 1 and N = 2 geometry from fluxes, hep-th/0206017.
47. D.R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories, Nucl. Phys. B 483 (1997) 229 [hep-th/9609070].
48. M.R. Douglas, S. Katz and C. Vafa, Small instantons, del Pezzo surfaces and type-I' theory, Nucl. Phys. B 497 (1997) 155 [hep-th/9609071].
49. O.J. Ganor, Toroidal compactification of heterotic 6d non-critical strings down to four dimensions, Nucl. Phys. B 488 (1997) 223 [hep-th/9608109].
50. 8 theory, Nucl. Phys. B 487 (1997) 93 [hep-th/9610251].
51. W. Lerche, P. Mayr and N.P. Warner, Non-critical strings, del Pezzo singularities and Seiberg- Witten curves, Nucl. Phys. B 499 (1997) 125 [hep-th/9612085].
52. V.A. Kazakov, I.K. Kostov and N.A. Nekrasov, D-particles, matrix integrals and KP hierarchy, Nucl. Phys. B 557 (1999) 413 [hep-th/9810035].