Seiberg-Witten theory, matrix model and AGT relation

Journal of High Energy Physics

Volumn 2010, Issue 7, 2010, Pages

  Eguchi, Tohru ^a   Maruyoshi, Kazunobu ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Extended supersymmetry; Matrix models; Nonperturbative effects; Supersymmetric gauge theory

Indexed keywords

EID: 77954975705     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2010)081     Document Type: Article

References (32)

1. L. F. Alday, D. Gaiotto and Y. Tachikawa, Liouville correlation functions from four-dimensional gauge theories, Lett. Math. Phys. 91 (2010) 167 [arXiv:0906.3219].
2. A. Mironov, A. Morozov and S. Shakirov, Matrix model conjecture for exact BS periods and Nekrasov functions, JHEP 02 (2010) 030 [arXiv:0911.5721].
3. A. Mironov, A. Morozov and S. Shakirov, Conformal blocks as Dotsenko-Fateev integral discriminants, Int. J. Mod. Phys. A 25 (2010) 3173 [arXiv:1001.0563].
4. H. Itoyama and T. Oota, Method of generating q-expansion coefficients for conformal block and N = 2 Nekrasov function by beta-deformed matrix model, arXiv:1003.2929.
5. A. Mironov, A. Morozov and A. Morozov, Matrix model version of AGT conjecture and generalized Selberg integrals, arXiv:1003.5752.
6. A. Morozov and S. Shakirov, The matrix model version of AGT conjecture and CIV-DV prepotential, arXiv:1004.2917.
7. R. Poghossian, Recursion relations in CFT and N = 2 SYM theory, JHEP 12 (2009) 038 [arXiv:0909.3412].
8. L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block, JHEP 01 (2010) 063 [arXiv:0911.2353].
9. V. A. Fateev and A. V. Litvinov, On AGT conjecture, JHEP 02 (2010) 014 [arXiv:0912.0504].
10. f = 0, 1, 2 antifundamentals, JHEP 06 (2010) 046 [arXiv:1004.1841].
11. R. Dijkgraaf and C. Vafa, Toda theories, matrix models, topological strings and N = 2 gauge systems, arXiv:0909.2453.
12. T. Eguchi and K. Maruyoshi, Penner type matrix model and Seiberg-Witten theory, JHEP 02 (2010) 022 [arXiv:0911.4797].
13. H. Itoyama, K. Maruyoshi and T. Oota, The quiver matrix model and 2D-4D conformal connection, arXiv:0911.4244.
14. r threesome: matrix models, 2D CFTs and 4D N = 2 gauge theories, arXiv:0911.5337.
15. V. S. Dotsenko and V. A. Fateev, Conformal algebra and multipoint correlation functions in 2D statistical models, Nucl. Phys. B 240 (1984) 312.
16. V. S. Dotsenko and V. A. Fateev, Four point correlation functions and the operator algebra in the two-dimensional conformal invariant theories with the central charge c < 1, Nucl. Phys. B 251 (1985) 691.
17. A. Marshakov, A. Mironov and A. Morozov, Generalized matrix models as conformal field theories: discrete case, Phys. Lett. B 265 (1991) 99.
18. 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].
19. M. Matone, Instantons and recursion relations in N = 2 SUSY gauge theory, Phys. Lett. B 357 (1995) 342 [hep-th/9506102].
20. 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].
21. 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].
22. A. Klemm, W. Lerche and S. Theisen, Nonperturbative effective actions of N = 2 supersymmetric gauge theories, Int. J. Mod. Phys. A 11 (1996) 1929 [hep-th/9505150].
23. K. Ito and S.-K. Yang, Prepotentials in N = 2 SU (2) supersymmetric Yang-Mills theory with massless hypermultiplets, Phys. Lett. B 366 (1996) 165 [hep-th/9507144].
24. D. Gaiotto, G. W. Moore and A. Neitzke, Wall-crossing, Hitchin systems and the WKB approximation, arXiv:0907.3987.
25. N. A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161].
26. 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].
27. T. W. Grimm, A. Klemm, M. Mariño and M. Weiss, Direct integration of the topological string, JHEP 08 (2007) 058 [hep-th/0702187].
28. c QCD, JHEP 11 (2009) 048 [arXiv:0909.3338].
29. D. Gaiotto, N = 2 dualities, arXiv:0904.2715.
30. A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B 241 (1984) 333.
31. M. Fujita, Y. Hatsuda and T.-S. Tai, Genus-one correction to asymptotically free Seiberg-Witten prepotential from Dijkgraaf-Vafa matrix model, JHEP 03 (2010) 046 [arXiv:0912.2988].
32. C. Kozcaz, S. Pasquetti and N. Wyllard, A & B model approaches to surface operators and Toda theories, arXiv:1004.2025.