메뉴 건너뛰기




Volumn 2011, Issue 7, 2011, Pages

Generalized matrix models and AGT correspondence at all genera

Author keywords

Conformal and W Symmetry; Extended Supersymmetry; Matrix Models; Supersymmetric gauge theory

Indexed keywords


EID: 80053166140     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2011)055     Document Type: Article
Times cited : (30)

References (86)
  • 1
    • 0030596982 scopus 로고    scopus 로고
    • Self-dual strings and N = 2 supersymmetric field theory
    • [hep-th/9604034] [SPIRES]
    • A. Klemm, W. Lerche, P. Mayr, C. Vafa and N.P. Warner, Self-dual strings and N = 2 supersymmetric field theory, Nucl. Phys. B 477 (1996) 746 [hep-th/9604034] [SPIRES].
    • (1996) Nucl. Phys. B , vol.477 , pp. 746
    • Klemm, A.1    Lerche, W.2    Mayr, P.3    Vafa, C.4    Warner, N.P.5
  • 2
    • 0031234520 scopus 로고    scopus 로고
    • Solutions of four-dimensional field theories via M-theory
    • [hep-th/9703166] [SPIRES]
    • E. Witten, Solutions of four-dimensional field theories via M-theory, Nucl. Phys. B 500 (1997) 3 [hep-th/9703166] [SPIRES].
    • (1997) Nucl. Phys. B , vol.500 , pp. 3
    • Witten, E.1
  • 4
    • 11244326926 scopus 로고    scopus 로고
    • Seiberg-Witten prepotential from instanton counting
    • [hep-th/0206161] [SPIRES]
    • N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161] [SPIRES].
    • (2004) Adv. Theor. Math. Phys. , vol.7 , pp. 831
    • Nekrasov, N.A.1
  • 5
    • 77949772019 scopus 로고    scopus 로고
    • Liouville correlation functions from four-dimensional gauge theories
    • [arXiv:0906.3219] [SPIRES]
    • 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] [SPIRES].
    • (2010) Lett. Math. Phys. , vol.91 , pp. 167
    • Alday, L.F.1    Gaiotto, D.2    Tachikawa, Y.3
  • 7
    • 71849093057 scopus 로고    scopus 로고
    • On non-conformal limit of the AGT relations
    • [arXiv:0909.2052] [SPIRES]
    • 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].
    • (2009) Phys. Lett. B , vol.682 , pp. 125
    • Marshakov, A.1    Mironov, A.2    Morozov, A.3
  • 9
    • 76249126643 scopus 로고    scopus 로고
    • Recursion relations in CFT and N = 2 SYM theory
    • [arXiv:0909.3412] [SPIRES]
    • R. Poghossian, Recursion relations in CFT and N = 2 SYM theory, JHEP 12 (2009) 038 [arXiv:0909.3412] [SPIRES].
    • (2009) JHEP , vol.12 , pp. 38
    • Poghossian, R.1
  • 10
    • 71849113838 scopus 로고    scopus 로고
    • Proving AGT relations in the large-c limit
    • [arXiv:0909.3531] [SPIRES]
    • A. Mironov and A. Morozov, Proving AGT relations in the large-c limit, Phys. Lett. B 682 (2009) 118 [arXiv:0909.3531] [SPIRES].
    • (2009) Phys. Lett. B , vol.682 , pp. 118
    • Mironov, A.1    Morozov, A.2
  • 11
    • 77949355107 scopus 로고    scopus 로고
    • Non-conformal limit of AGT relation from the 1-point torus conformal block
    • [arXiv:0911.0363] [SPIRES]
    • V. Alba and A. Morozov, Non-conformal limit of AGT relation from the 1-point torus conformal block, JETP Lett. 90 (2009) 708 [arXiv:0911.0363] [SPIRES].
    • (2009) JETP Lett. , vol.90 , pp. 708
    • Alba, V.1    Morozov, A.2
  • 12
    • 77954970825 scopus 로고    scopus 로고
    • Recursive representation of the torus 1-point conformal block
    • [arXiv:0911.2353] [SPIRES]
    • L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block, JHEP 01 (2010) 063 [arXiv:0911.2353] [SPIRES].
    • (2010) JHEP , vol.1 , pp. 63
    • Hadasz, L.1    Jaskolski, Z.2    Suchanek, P.3
  • 13
    • 77954904155 scopus 로고    scopus 로고
    • On AGT conjecture
    • [arXiv:0912.0504] [SPIRES]
    • V.A. Fateev and A.V. Litvinov, On AGT conjecture, JHEP 02 (2010) 014 [arXiv:0912.0504] [SPIRES].
    • (2010) JHEP , vol.2 , pp. 14
    • Fateev, V.A.1    Litvinov, A.V.2
  • 14
    • 78649657977 scopus 로고    scopus 로고
    • f = 4
    • [arXiv:0912.1930] [SPIRES]
    • f = 4, JHEP 01 (2010) 097 [arXiv:0912.1930] [SPIRES].
    • JHEP , vol.1 , Issue.2010 , pp. 97
    • Giribet, G.1
  • 15
    • 78651310283 scopus 로고    scopus 로고
    • Moore-Read fractional quantum hall wavefunctions and SU(2) quiver gauge theories
    • [arXiv:1002.5017] [SPIRES]
    • R. Santachiara and A. Tanzini, Moore-Read fractional quantum Hall wavefunctions and SU(2) quiver gauge theories, Phys. Rev. D 82 (2010) 126006 [arXiv:1002.5017] [SPIRES].
    • (2010) Phys. Rev. D , vol.82 , pp. 126006
    • Santachiara, R.1    Tanzini, A.2
  • 16
    • 84856399971 scopus 로고    scopus 로고
    • f = 0, 1, 2 antifundamentals
    • [arXiv:1004.1841] [SPIRES]
    • f = 0, 1, 2 antifundamentals, JHEP 06 (2010) 046 [arXiv:1004.1841] [SPIRES].
    • JHEP , vol.6 , Issue.2010 , pp. 046
    • Hadasz, L.1    Jaskolski, Z.2    Suchanek, P.3
  • 18
    • 77956059764 scopus 로고    scopus 로고
    • Check of AGT relation for conformal blocks on sphere
    • [arXiv:0912.2535] [SPIRES]
    • V. Alba and A. Morozov, Check of AGT relation for conformal blocks on sphere, Nucl. Phys. B 840 (2010) 441 [arXiv:0912.2535] [SPIRES].
    • (2010) Nucl. Phys. B , vol.840 , pp. 441
    • Alba, V.1    Morozov, A.2
  • 19
    • 70449879686 scopus 로고    scopus 로고
    • N-1 conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories
    • [arXiv:0907.2189] [SPIRES]
    • N-11 conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories, JHEP 11 (2009) 002 [arXiv:0907.2189] [SPIRES].
    • (2009) JHEP , vol.11 , pp. 002
    • Wyllard, N.1
  • 20
    • 74249112402 scopus 로고    scopus 로고
    • On AGT relation in the case of U(3)
    • [arXiv:0908.2569] [SPIRES]
    • A. Mironov and A. Morozov, On AGT relation in the case of U(3), Nucl. Phys. B 825 (2010) 1 [arXiv:0908.2569] [SPIRES].
    • (2010) Nucl. Phys. B , vol.825 , pp. 1
    • Mironov, A.1    Morozov, A.2
  • 21
    • 84901457789 scopus 로고    scopus 로고
    • Hitchin equation singularity and N = 2 superconformal field theories
    • [arXiv:0911.1990] [SPIRES]
    • D. Nanopoulos and D. Xie, Hitchin equation, singularity and N = 2 superconformal field theories, JHEP 03 (2010) 043 [arXiv:0911.1990] [SPIRES].
    • (2010) JHEP , vol.3 , pp. 043
    • Nanopoulos, D.1    Xie, D.2
  • 22
    • 77749343662 scopus 로고    scopus 로고
    • N = 2 gauge theories and degenerate fields of Toda theory
    • [arXiv:0911.4787] [SPIRES]
    • S. Kanno, Y. Matsuo, S. Shiba and Y. Tachikawa, N = 2 gauge theories and degenerate fields of Toda theory, Phys. Rev. D 81 (2010) 046004 [arXiv:0911.4787] [SPIRES].
    • (2010) Phys. Rev. D , vol.81 , pp. 046004
    • Kanno, S.1    Matsuo, Y.2    Shiba, S.3    Tachikawa, Y.4
  • 23
    • 80053148196 scopus 로고    scopus 로고
    • On AGT conjecture for pure super yang-mills and w-algebra
    • [arXiv:0912.4789] [SPIRES]
    • M. Taki, On AGT conjecture for pure super Yang-Mills and W-algebra, JHEP 05 (2011) 038 [arXiv:0912.4789] [SPIRES].
    • (2011) JHEP , vol.5 , pp. 038
    • Taki, M.1
  • 25
    • 78650992638 scopus 로고    scopus 로고
    • Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver
    • [arXiv:1007.0601] [SPIRES]
    • S. Kanno, Y. Matsuo and S. Shiba, Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver, Phys. Rev. D 82 (2010) 066009 [arXiv:1007.0601] [SPIRES].
    • (2010) Phys. Rev. D , vol.82 , pp. 066009
    • Kanno, S.1    Matsuo, Y.2    Shiba, S.3
  • 26
    • 77954986114 scopus 로고    scopus 로고
    • Loop and surface operators in N = 2 gauge theory and Liouville modular geometry
    • [arXiv:0909.0945] [SPIRES]
    • 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, JHEP 01 (2010) 113 [arXiv:0909.0945] [SPIRES].
    • (2010) JHEP , vol.1 , pp. 113
    • Alday, L.F.1    Gaiotto, D.2    Gukov, S.3    Tachikawa, Y.4    Verlinde, H.5
  • 27
    • 77954660763 scopus 로고    scopus 로고
    • Gauge theory loop operators and Liouville theory
    • [arXiv:0909.1105] [SPIRES]
    • N. Drukker, J. Gomis, T. Okuda and J. Teschner, Gauge theory loop operators and Liouville theory, JHEP 02 (2010) 057 [arXiv:0909.1105] [SPIRES].
    • (2010) JHEP , vol.2 , pp. 057
    • Drukker, N.1    Gomis, J.2    Okuda, T.3    Teschner, J.4
  • 28
    • 77954898632 scopus 로고    scopus 로고
    • S-duality and 2d topological QFT
    • [arXiv:0910.2225] [SPIRES]
    • A. Gadde, E. Pomoni, L. Rastelli and S.S. Razamat, S-duality and 2d topological QFT, JHEP 03 (2010) 032 [arXiv:0910.2225] [SPIRES].
    • (2010) JHEP , vol.3 , pp. 032
    • Gadde, A.1    Pomoni, E.2    Rastelli, L.3    Razamat, S.S.4
  • 30
    • 80053103758 scopus 로고    scopus 로고
    • The virtue of defects in 4D gauge theories and 2D CFTs
    • [arXiv:1003.1112] [SPIRES]
    • N. Drukker, D. Gaiotto and J. Gomis, The virtue of defects in 4D gauge theories and 2D CFTs, JHEP 06 (2011) 025 [arXiv:1003.1112] [SPIRES].
    • (2011) JHEP , vol.6 , pp. 025
    • Drukker, N.1    Gaiotto, D.2    Gomis, J.3
  • 31
    • 77954939489 scopus 로고    scopus 로고
    • Gauge theory Wilson loops and conformal Toda field theory
    • [arXiv:1003.1151] [SPIRES]
    • F. Passerini, Gauge theory Wilson loops and conformal Toda field theory, JHEP 03 (2010) 125 [arXiv:1003.1151] [SPIRES].
    • (2010) JHEP , vol.3 , pp. 125
    • Passerini, F.1
  • 32
    • 77955891582 scopus 로고    scopus 로고
    • A & B model approaches to surface operators and Toda theories
    • [arXiv:1004.2025] [SPIRES]
    • C. Kozcaz, S. Pasquetti and N. Wyllard, A & B model approaches to surface operators and Toda theories, JHEP 08 (2010) 042 [arXiv:1004.2025] [SPIRES].
    • (2010) JHEP , vol.8 , pp. 042
    • Kozcaz, C.1    Pasquetti, S.2    Wyllard, N.3
  • 33
    • 77956873808 scopus 로고    scopus 로고
    • Affine SL(2) conformal blocks from 4d gauge theories
    • [arXiv:1005.4469] [SPIRES]
    • L.F. Alday and Y. Tachikawa, Affine SL(2) conformal blocks from 4d gauge theories, Lett. Math. Phys. 94 (2010) 87 [arXiv:1005.4469] [SPIRES].
    • (2010) Lett. Math. Phys. , Issue.94 , pp. 87
    • Alday, L.F.1    Tachikawa, Y.2
  • 37
    • 80053107261 scopus 로고    scopus 로고
    • Affine sl(N) conformal blocks from N = 2 SU(N) gauge theories
    • [arXiv:1008.1412] [SPIRES]
    • C. Kozcaz, S. Pasquetti, F. Passerini and N. Wyllard, Affine sl(N) conformal blocks from N = 2 SU(N) gauge theories, JHEP 01 (2011) 045 [arXiv:1008.1412] [SPIRES].
    • (2011) JHEP , vol.1 , pp. 045
    • Kozcaz, C.1    Pasquetti, S.2    Passerini, F.3    Wyllard, N.4
  • 39
    • 80053092384 scopus 로고    scopus 로고
    • AGT on the S-duality wall
    • [arXiv:1009.0340] [SPIRES]
    • K. Hosomichi, S. Lee and J. Park, AGT on the S-duality wall, JHEP 12 (2010) 079 [arXiv:1009.0340] [SPIRES].
    • (2010) JHEP , vol.12 , pp. 079
    • Hosomichi, K.1    Lee, S.2    Park, J.3
  • 40
    • 79953726043 scopus 로고    scopus 로고
    • W-algebras and surface operators in N = 2 gauge theories
    • [arXiv:1011.0289] [SPIRES]
    • N. Wyllard, W-algebras and surface operators in N = 2 gauge theories, J. Phys. A 44 (2011) 155401 [arXiv:1011.0289] [SPIRES].
    • (2011) J. Phys. A , vol.44 , pp. 155401
    • Wyllard, N.1
  • 41
    • 78751553704 scopus 로고    scopus 로고
    • A quantum isomonodromy equation and its application to N = 2 SU(N) gauge theories
    • [arXiv:1011.0292] [SPIRES]
    • Y. Yamada, A quantum isomonodromy equation and its application to N = 2 SU(N) gauge theories, J. Phys. A 44 (2011) 055403 [arXiv:1011.0292] [SPIRES].
    • (2011) J. Phys. A , vol.44 , pp. 055403
    • Yamada, Y.1
  • 42
    • 77956648237 scopus 로고    scopus 로고
    • Deformed prepotential, quantum integrable system and Liouville field theory
    • [arXiv:1006.4505] [SPIRES]
    • K. Maruyoshi and M. Taki, Deformed prepotential, quantum integrable system and Liouville field theory, Nucl. Phys. B 841 (2010) 388 [arXiv:1006.4505] [SPIRES].
    • (2010) Nucl. Phys. B , vol.841 , pp. 388
    • Maruyoshi, K.1    Taki, M.2
  • 43
    • 77954144311 scopus 로고    scopus 로고
    • Hitchin systems, N = 2 gauge theories and W-gravity
    • [arXiv:0909.4031] [SPIRES]
    • G. Bonelli and A. Tanzini, Hitchin systems, N = 2 gauge theories and W-gravity, Phys. Lett. B 691 (2010) 111 [arXiv:0909.4031] [SPIRES].
    • (2010) Phys. Lett. B , vol.691 , pp. 111
    • Bonelli, G.1    Tanzini, A.2
  • 44
    • 77957592179 scopus 로고    scopus 로고
    • Liouville/Toda central charges from M5-branes
    • [arXiv:0909.4776] [SPIRES]
    • L.F. Alday, F. Benini and Y. Tachikawa, Liouville/Toda central charges from M5-branes, Phys. Rev. Lett. 105 (2010) 141601 [arXiv:0909.4776] [SPIRES].
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 141601
    • Alday, L.F.1    Benini, F.2    Tachikawa, Y.3
  • 46
    • 77956902285 scopus 로고    scopus 로고
    • The quiver matrix model and 2d-4d conformal connection
    • [arXiv:0911.4244] [SPIRES]
    • H. Itoyama, K. Maruyoshi and T. Oota, The quiver matrix model and 2d-4d conformal connection, Prog. Theor. Phys. 123 (2010) 957 [arXiv:0911.4244] [SPIRES].
    • (2010) Prog. Theor. Phys. , vol.123 , pp. 957
    • Itoyama, H.1    Maruyoshi, K.2    Oota, T.3
  • 48
    • 77954660913 scopus 로고    scopus 로고
    • Matrix model conjecture for exact BS periods and Nekrasov functions
    • [arXiv:0911.5721] [SPIRES]
    • A. Mironov, A. Morozov and S. Shakirov, Matrix model conjecture for exact BS periods and Nekrasov functions, JHEP 02 (2010) 030 [arXiv:0911.5721] [SPIRES].
    • (2010) JHEP , vol.2 , pp. 030
    • Mironov, A.1    Morozov, A.2    Shakirov, S.3
  • 49
    • 77954197657 scopus 로고    scopus 로고
    • Conformal blocks as Dotsenko-Fateev integral discriminants
    • [arXiv:1001.0563] [SPIRES]
    • 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] [SPIRES].
    • (2010) Int. J. Mod. Phys. A , vol.25 , pp. 3173
    • Mironov, A.1    Morozov, A.2    Shakirov, S.3
  • 50
    • 77954661237 scopus 로고    scopus 로고
    • Method of generating q-expansion coefficients for conformal block and N = 2 Nekrasov function by beta-deformed matrix model
    • [arXiv:1003.2929] [SPIRES]
    • H. Itoyama and T. Oota, Method of generating q-expansion coefficients for conformal block and N = 2 Nekrasov function by beta-deformed matrix model, Nucl. Phys. B 838 (2010) 298 [arXiv:1003.2929] [SPIRES].
    • (2010) Nucl. Phys. B , vol.838 , pp. 298
    • Itoyama, H.1    Oota, T.2
  • 51
    • 77954930778 scopus 로고    scopus 로고
    • Genus-one correction to asymptotically free Seiberg-Witten prepotential from Dijkgraaf-Vafa matrix model
    • [arXiv:0912.2988] [SPIRES]
    • 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] [SPIRES].
    • (2010) JHEP , vol.3 , pp. 046
    • Fujita, M.1    Hatsuda, Y.2    Tai, T.-S.3
  • 52
    • 77954936446 scopus 로고    scopus 로고
    • Matrix models for β-ensembles from Nekrasov partition functions
    • [arXiv:0912.5476] [SPIRES]
    • P. Sulkowski, Matrix models for β-ensembles from Nekrasov partition functions, JHEP 04 (2010) 063 [arXiv:0912.5476] [SPIRES].
    • (2010) JHEP , vol.4 , pp. 063
    • Sulkowski, P.1
  • 53
    • 78149408344 scopus 로고    scopus 로고
    • Conformal blocks and generalized Selberg integrals
    • [arXiv:1003.5752] [SPIRES]
    • A. Mironov, A. Morozov and A. Morozov, Conformal blocks and generalized Selberg integrals, Nucl. Phys. B 843 (2011) 534 [arXiv:1003.5752] [SPIRES].
    • (2011) Nucl. Phys. B , vol.843 , pp. 534
    • Mironov, A.1    Morozov, A.2    Morozov, A.3
  • 54
    • 77955888825 scopus 로고    scopus 로고
    • The matrix model version of AGT conjecture and CIV-DV prepotential
    • [arXiv:1004.2917] [SPIRES]
    • A. Morozov and S. Shakirov, The matrix model version of AGT conjecture and CIV-DV prepotential, JHEP 08 (2010) 066 [arXiv:1004.2917] [SPIRES].
    • (2010) JHEP , vol.8 , pp. 066
    • Morozov, A.1    Shakirov, S.2
  • 55
    • 78649654623 scopus 로고    scopus 로고
    • Five-dimensional AGT relation and the deformed beta-ensemble
    • [arXiv:1004.5122] [SPIRES]
    • H. Awata and Y. Yamada, Five-dimensional AGT relation and the deformed beta-ensemble, Prog. Theor. Phys. 124 (2010) 227 [arXiv:1004.5122] [SPIRES].
    • (2010) Prog. Theor. Phys. , vol.124 , pp. 227
    • Awata, H.1    Yamada, Y.2
  • 58
    • 78650970739 scopus 로고    scopus 로고
    • Massive scaling limit of beta-deformed matrix model of Selberg type
    • [arXiv:1008.1861] [SPIRES]
    • H. Itoyama, T. Oota and N. Yonezawa, Massive scaling limit of beta-deformed matrix model of Selberg type, Phys. Rev. D 82 (2010) 085031 [arXiv:1008.1861] [SPIRES].
    • (2010) Phys. Rev. D , vol.82 , pp. 085031
    • Itoyama, H.1    Oota, T.2    Yonezawa, N.3
  • 60
    • 79951847972 scopus 로고    scopus 로고
    • On 'Dotsenko-Fateev' representation of the toric conformal blocks
    • [arXiv:1010.1734] [SPIRES]
    • A. Mironov, A. Morozov and S. Shakirov, On 'Dotsenko-Fateev' representation of the toric conformal blocks, J. Phys. A 44 (2011) 085401 [arXiv:1010.1734] [SPIRES].
    • (2011) J. Phys. A , vol.44 , pp. 085401
    • Mironov, A.1    Morozov, A.2    Shakirov, S.3
  • 61
    • 80053092447 scopus 로고    scopus 로고
    • Brezin-gross-witten model as 'pure gauge' limit of selberg integrals
    • [arXiv:1011.3481] [SPIRES]
    • A. Mironov, A. Morozov and S. Shakirov, Brezin-Gross-Witten model as 'pure gauge' limit of Selberg integrals, JHEP 03 (2011) 102 [arXiv:1011.3481] [SPIRES].
    • (2011) JHEP , vol.3 , pp. 102
    • Mironov, A.1    Morozov, A.2    Shakirov, S.3
  • 62
    • 77954657213 scopus 로고    scopus 로고
    • Penner type matrix model and seiberg-witten theory
    • [arXiv:0911.4797] [SPIRES]
    • T. Eguchi and K. Maruyoshi, Penner type matrix model and Seiberg-Witten theory, JHEP 02 (2010) 022 [arXiv:0911.4797] [SPIRES].
    • (2010) JHEP , vol.2 , pp. 022
    • Eguchi, T.1    Maruyoshi, K.2
  • 63
    • 77954975705 scopus 로고    scopus 로고
    • Seiberg-witten theory matrix model and AGT relation
    • [arXiv:1006.0828] [SPIRES]
    • T. Eguchi and K. Maruyoshi, Seiberg-Witten theory, matrix model and AGT relation, JHEP 07 (2010) 081 [arXiv:1006.0828] [SPIRES].
    • (2010) JHEP , vol.7 , pp. 081
    • Eguchi, T.1    Maruyoshi, K.2
  • 64
    • 80053096800 scopus 로고    scopus 로고
    • Seiberg-Witten curve via generalized matrix model
    • [arXiv:1009.5553] [SPIRES]
    • K. Maruyoshi and F. Yagi, Seiberg-Witten curve via generalized matrix model, JHEP 01 (2011) 042 [arXiv:1009.5553] [SPIRES].
    • (2011) JHEP , vol.1 , pp. 042
    • Maruyoshi, K.1    Yagi, F.2
  • 65
    • 79953327657 scopus 로고    scopus 로고
    • On AGT relations with surface operator insertion and stationary limit of beta-ensembles
    • [arXiv:1011.4491] [SPIRES]
    • A. Marshakov, A. Mironov and A. Morozov, On AGT relations with surface operator insertion and stationary limit of beta-ensembles, J. Geom. Phys. 61 (2011) 1203 [arXiv:1011.4491] [SPIRES].
    • (2011) J. Geom. Phys. , vol.61 , pp. 1203
    • Marshakov, A.1    Mironov, A.2    Morozov, A.3
  • 67
    • 0000122312 scopus 로고
    • Correlation functions in liouville theory
    • [SPIRES]
    • M. Goulian and M. Li, Correlation functions in Liouville theory, Phys. Rev. Lett. 66 (1991) 2051 [SPIRES].
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 2051
    • Goulian, M.1    Li, M.2
  • 68
    • 0002832447 scopus 로고
    • Multiloop calculations in covariant superstring theory
    • [SPIRES]
    • E.P. Verlinde and H.L. Verlinde, Multiloop calculations in covariant superstring theory, Phys. Lett. B 192 (1987) 95 [SPIRES].
    • (1987) Phys. Lett. B , vol.192 , pp. 95
    • Verlinde, E.P.1    Verlinde, H.L.2
  • 69
    • 34250086476 scopus 로고
    • C = 1 conformal field theories on Riemann surfaces
    • [SPIRES]
    • R. Dijkgraaf, E.P. Verlinde and H.L. Verlinde, C = 1 conformal field theories on Riemann surfaces, Commun. Math. Phys. 115 (1988) 649 [SPIRES].
    • (1988) Commun. Math. Phys. , vol.115 , pp. 649
    • Dijkgraaf, R.1    Verlinde, E.P.2    Verlinde, H.L.3
  • 70
    • 33646046065 scopus 로고
    • The geometry of string perturbation theory
    • [SPIRES]
    • E. D'Hoker and D.H. Phong, The geometry of string perturbation theory, Rev. Mod. Phys. 60 (1988) 917 [SPIRES].
    • (1988) Rev. Mod. Phys. , vol.60 , pp. 917
    • D'Hoker, E.1    Phong, D.H.2
  • 71
    • 0040543268 scopus 로고
    • Coulomb gas representation on higher genus surfaces
    • [SPIRES]
    • J. Bagger and M. Goulian, Coulomb gas representation on higher genus surfaces, Nucl. Phys. B 330 (1990) 488 [SPIRES].
    • (1990) Nucl. Phys. B , vol.330 , pp. 488
    • Bagger, J.1    Goulian, M.2
  • 72
    • 0000893601 scopus 로고
    • Conformal theories and punctured surfaces
    • [SPIRES]
    • C. Vafa, Conformal theories and punctured surfaces, Phys. Lett. B 199 (1987) 195 [SPIRES].
    • (1987) Phys. Lett. B , vol.199 , pp. 195
    • Vafa, C.1
  • 73
    • 0030569824 scopus 로고    scopus 로고
    • Supersymmetric Yang-Mills theory and integrable systems
    • [hep-th/9510101] [SPIRES]
    • R. Donagi and E. Witten, Supersymmetric Yang-Mills theory and integrable systems, Nucl. Phys. B 460 (1996) 299 [hep-th/9510101] [SPIRES].
    • (1996) Nucl. Phys. B , vol.460 , pp. 299
    • Donagi, R.1    Witten, E.2
  • 75
    • 77954900966 scopus 로고    scopus 로고
    • Nekrasov functions and exact Bohr-Sommerfeld integrals
    • [arXiv:0910.5670] [SPIRES]
    • A. Mironov and A. Morozov, Nekrasov functions and exact Bohr-Sommerfeld integrals, JHEP 04 (2010) 040 [arXiv:0910.5670] [SPIRES].
    • (2010) JHEP , vol.4 , pp. 040
    • Mironov, A.1    Morozov, A.2
  • 76
    • 77951921452 scopus 로고    scopus 로고
    • Nekrasov functions from exact BS periods: The case of SU(N)
    • [arXiv:0911.2396] [SPIRES]
    • A. Mironov and A. Morozov, Nekrasov functions from exact BS periods: the case of SU(N), J. Phys. A 43 (2010) 195401 [arXiv:0911.2396] [SPIRES].
    • (2010) J. Phys. A , vol.43 , pp. 195401
    • Mironov, A.1    Morozov, A.2
  • 78
    • 78649701843 scopus 로고    scopus 로고
    • The omega deformation, branes, integrability and Liouville theory
    • [arXiv:1002.0888] [SPIRES]
    • N. Nekrasov and E. Witten, The omega deformation, branes, integrability and Liouville theory, JHEP 09 (2010) 092 [arXiv:1002.0888] [SPIRES].
    • (2010) JHEP , vol.9 , pp. 092
    • Nekrasov, N.1    Witten, E.2
  • 80
    • 80053148801 scopus 로고    scopus 로고
    • Deforming SW curve
    • [arXiv:1006.4822] [SPIRES]
    • R. Poghossian, Deforming SW curve, JHEP 04 (2011) 033 [arXiv:1006.4822] [SPIRES].
    • (2011) JHEP , vol.4 , pp. 033
    • Poghossian, R.1
  • 82
    • 67650270644 scopus 로고    scopus 로고
    • Topological expansion of the Bethe ansatz and non-commutative algebraic geometry
    • [arXiv:0809.3367] [SPIRES]
    • B. Eynard and O. Marchal, Topological expansion of the Bethe ansatz and non-commutative algebraic geometry, JHEP 03 (2009) 094 [arXiv:0809.3367] [SPIRES].
    • (2009) JHEP , vol.3 , pp. 094
    • Eynard, B.1    Marchal, O.2
  • 85
    • 79953677510 scopus 로고    scopus 로고
    • Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach
    • [arXiv:1009.6007] [SPIRES]
    • L.O. Chekhov, B. Eynard and O. Marchal, Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach, Theor. Math. Phys. 166 (2011) 141 [arXiv:1009.6007] [SPIRES].
    • (2011) Theor. Math. Phys. , vol.166 , pp. 141
    • Chekhov, L.O.1    Eynard, B.2    Marchal, O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.