Penner type matrix model and Seiberg-Witten theory

Journal of High Energy Physics

Volumn 2010, Issue 2, 2010, Pages

  Eguchi, Tohru ^a   Maruyoshi, Kazunobu ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Duality in gauge field theories; Extended supersymmetry; Matrix models; Supersymmetric gauge theory

Indexed keywords

EID: 77954657213     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2010)022     Document Type: Article

References (57)

1. L.F. Alday, D. Gaiotto and Y. Tachikawa, Liouville correlation functions from Four-dimensional gauge theories, arXiv:0906.3219 [SPIRES].
2. N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161] [SPIRES].
3. N. Wyllard, AN-1 conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories, JHEP 11 (2009) 002 [arXiv:0907.2189] [SPIRES].
4. A. Marshakov, A. Mironov and A. Morozov, On combinatorial expansions of conformal blocks, arXiv:0907.3946 [SPIRES].
5. D. Gaiotto, Asymptotically free N = 2 theories and irregular conformal blocks, arXiv:0908.0307 [SPIRES].
6. A. Mironov, S. Mironov, A. Morozov and A. Morozov, CFT exercises for the needs of AGT, arXiv:0908.2064 [SPIRES].
7. A. Mironov and A. Morozov, The power of Nekrasov functions, Phys. Lett. B 680 (2009) 188 [arXiv:0908.2190] [SPIRES].
8. A. Mironov and A. Morozov, On AGT relation in the case of U(3), Nucl. Phys. B 825 (2010) 1 [arXiv:0908.2569] [SPIRES].
9. D.V. Nanopoulos and D. Xie, On crossing symmmetry and modular invariance in conformal field theory and S duality in Gauge theory, Phys. Rev. D 80 (2009) 105015 [arXiv:0908.4409] [SPIRES].
10. L.F. Alday, D. Gaiotto, S. Gukov, Y. Tachikawa and H. Verlinde, Loop and surface operators in N = 2 gauge theory and Liouville modular geometry, arXiv:0909.0945 [SPIRES].
11. N. Drukker, J. Gomis, T. Okuda and J. Teschner, Gauge theory loop operators and Liouville theory, arXiv:0909.1105 [SPIRES].
12. A. Marshakov, A. Mironov and A. Morozov, On non-conformal limit of the AGT relations, Phys. Lett. B 682 (2009) 125 [arXiv:0909.2052] [SPIRES].
13. A. Mironov and A. Morozov, Proving AGT relations in the large-c limit, Phys. Lett. B 682 (2009) 118 [arXiv:0909.3531] [SPIRES].
14. G. Bonelli and A. Tanzini, Hitchin systems, N = 2 gauge theories and W-gravity, arXiv:0909.4031 [SPIRES].
15. L.F. Alday, F. Benini and Y. Tachikawa, Liouville/Toda central charges from M5-branes, arXiv:0909.4776 [SPIRES].
16. A. Gadde, E. Pomoni, L. Rastelli and S.S. Razamat, S-duality and 2d topological QFT, arXiv:0910.2225 [SPIRES].
17. H. Awata and Y. Yamada, Five-dimensional AGT conjecture and the deformed Virasoro algebra, arXiv:0910.4431 [SPIRES].
18. K. Papadodimas, Topological anti-topological fusion in four-dimensional superconformal field theories, arXiv:0910.4963 [SPIRES].
19. A. Mironov and A. Morozov, Nekrasov functions and exact Bohr-Zommerfeld integrals, arXiv:0910.5670 [SPIRES].
20. V. Alba and A. Morozov, Non-conformal limit of AGT relation from the 1-point torus conformal block, arXiv:0911.0363 [SPIRES].
21. J.-F. Wu and Y. Zhou, From Liouville to Chern-Simons, alternative realization of Wilson loop operators in AGT duality, arXiv:0911.1922 [SPIRES].
22. L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block, arXiv:0911.2353 [SPIRES].
23. A. Mironov and A. Morozov, Nekrasov functions from exact BS periods: the case of SU(N), arXiv:0911.2396 [SPIRES].
24. H. Itoyama, K. Maruyoshi and T. Oota, Notes on the Quiver matrix model and 2D-4D conformal connection, arXiv:0911.4244 [SPIRES].
25. c QCD, JHEP 11 (2009) 048 [arXiv:0909.3338] [SPIRES].
26. R. Poghossian, Recursion relations in CFT and N = 2 SYM theory, JHEP 12 (2009) 038 [arXiv:0909.3412] [SPIRES].
27. D. Gaiotto, N=2 dualities, arXiv:0904.2715 [SPIRES].
28. D. Gaiotto, G.W. Moore and A. Neitzke, Wall-crossing, Hitchin systems and the WKB approximation, arXiv:0907.3987 [SPIRES].
29. D. Gaiotto and J. Maldacena, The gravity duals of N = 2 superconformal field theories, arXiv:0904.4466 [SPIRES].
30. Y. Tachikawa, Six-dimensional DN theory and four-dimensional SO-USp quivers, JHEP 07 (2009) 067 [arXiv:0905.4074] [SPIRES].
31. F. Benini, S. Benvenuti and Y. Tachikawa, Webs of five-branes and N = 2 superconformal field theories, JHEP 09 (2009) 052 [arXiv:0906.0359] [SPIRES].
32. D. Nanopoulos and D. Xie, N=2 SU Quiver with USP ends or SU ends with antisymmetric matter, JHEP 08 (2009) 108 [arXiv:0907.1651] [SPIRES].
33. N. Drukker, D.R. Morrison and T. Okuda, Loop operators and S-duality from curves on Riemann surfaces, JHEP 09 (2009) 031 [arXiv:0907.2593] [SPIRES].
34. K. Maruyoshi, M. Taki, S. Terashima and F. Yagi, New Seiberg dualities from N = 2 dualities, JHEP 09 (2009) 086 [arXiv:0907.2625] [SPIRES].
35. F. Benini, Y. Tachikawa and B. Wecht, Sicilian gauge theories and N = 1 dualities, arXiv:0909.1327 [SPIRES].
36. Y. Zhou, A note on Wilson loop in N = 2 Quiver/M theory gravity duality, arXiv:0910.4234 [SPIRES].
37. K. Papadodimas, Topological anti-topological fusion in four-dimensional superconformal field theories, arXiv:0910.4963 [SPIRES].
38. D. Gaiotto, Surface operators in N = 2 4D Gauge theories, arXiv:0911.1316 [SPIRES].
39. D. Nanopoulos and D. Xie, Hitchin equation, singularity and N = 2 superconformal field theories, arXiv:0911.1990 [SPIRES].
40. R. Dijkgraaf and C. Vafa, Toda theories, matrix models, topological strings and N = 2 Gauge systems, arXiv:0909.2453 [SPIRES].
41. A. Marshakov, A. Mironov and A. Morozov, Generalized matrix models as conformal field theories: discrete case, Phys. Lett. B 265 (1991) 99 [SPIRES].
42. S. Kharchev, A. Marshakov, A. Mironov, A. Morozov and S. Pakuliak, Conformal matrix models as an alternative to conventional multimatrix models, Nucl. Phys. B 404 (1993) 717 [hep-th/9208044] [SPIRES].
43. N. Seiberg and E. Witten, Monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [Erratum ibid. B 430 (1994) 485] [hep-th/9407087] [SPIRES].
44. 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] [SPIRES].
45. E. Witten, Solutions of four-dimensional field theories via M-theory, Nucl. Phys. B 500 (1997) 3 [hep-th/9703166] [SPIRES].
46. R. Dijkgraaf, S. Gukov, V.A. Kazakov and C. Vafa, Perturbative analysis of gauged matrix models, Phys. Rev. D 68 (2003) 045007 [hep-th/0210238] [SPIRES].
47. R. Gopakumar, N = 1 theories and a geometric master field, JHEP 05 (2003) 033 [hep-th/0211100] [SPIRES].
48. S.G. Naculich, H.J. Schnitzer and N. Wyllard, The N = 2 U(N) gauge theory prepotential and periods from a perturbative matrix model calculation, Nucl. Phys. B 651 (2003) 106 [hep-th/0211123] [SPIRES].
49. N. Dorey, V.V. Khoze and M.P. Mattis, On N = 2 supersymmetric QCD with 4 flavors, Nucl. Phys. B 492 (1997) 607 [hep-th/9611016] [SPIRES].
50. T.W. Grimm, A. Klemm, M. Mariño and M. Weiss, Direct integration of the topological string, JHEP 08 (2007) 058 [hep-th/0702187] [SPIRES].
51. 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, JHEP 01 (2003) 015 [hep-th/0211254] [SPIRES].
52. F. Cachazo, N. Seiberg and E. Witten, Chiral rings and phases of supersymmetric gauge theories, JHEP 04 (2003) 018 [hep-th/0303207] [SPIRES].
53. M. Matone, Instantons and recursion relations in N = 2 SUSY gauge theory, Phys. Lett. B 357 (1995) 342 [hep-th/9506102] [SPIRES].
54. J. Sonnenschein, S. Theisen and S. Yankielowicz, On the relation between the holomorphic prepotential and the quantum moduli in SUSY gauge theories, Phys. Lett. B 367 (1996) 145 [hep-th/9510129] [SPIRES].
55. T. Eguchi and S.-K. Yang, Prepotentials of N = 2 supersymmetric gauge theories and soliton equations, Mod. Phys. Lett. A 11 (1996) 131 [hep-th/9510183] [SPIRES].
56. A. Klemm and P. Sulkowski, Seiberg-Witten theory and matrix models, Nucl. Phys. B 819 (2009) 400 [arXiv:0810.4944] [SPIRES].
57. P. Sulkowski, Matrix models for 2* theories, Phys. Rev. D 80 (2009) 086006 [arXiv:0904.3064] [SPIRES].