Deformed planar topological open string amplitudes on Seiberg-Witten curve

被引:3
作者
Manabe, Masahide [1 ,2 ]
机构
[1] Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India
[2] Nagoya Univ, Grad Sch Math, Nagoya, Aichi 4648602, Japan
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 04期
关键词
Matrix Models; Topological Strings; Supersymmetric gauge theory; MATRIX MODEL;
D O I
10.1007/JHEP04(2012)082
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We study refined B-model via the beta ensemble of matrix models. Especially, for four dimensional N = 2 SU(2) supersymmetric gauge theories with N-f = 0, 1 and 2 fundamental flavors, we discuss the correspondence between deformed disk amplitudes on each Seiberg-Witten curve and the Nekrasov-Shatashvili limit of the corresponding irregular one point block of a degenerate operator via the AGT correspondence. We also discuss the relation between deformed annulus amplitudes and the irregular two point block of the degenerate operator, and check a desired agreement for N-f = 0 and 1 cases.
引用
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页数:26
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共 81 条
  • [1] Aganagic M, 2004, J HIGH ENERGY PHYS
  • [2] Topological strings and integrable hierarchies
    Aganagic, M
    Dijkgraaf, R
    Klemm, A
    Mariño, M
    Vafa, C
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 261 (02) : 451 - 516
  • [3] The topological vertex
    Aganagic, M
    Klemm, A
    Mariño, M
    Vafa, C
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 254 (02) : 425 - 478
  • [4] AGANAGIC M, ARXIV11055117
  • [5] Aganagic M., ARXIV11050630
  • [6] Higher genus correlators for the hermitian matrix model with multiple cuts
    Akemann, G
    [J]. NUCLEAR PHYSICS B, 1996, 482 (1-2) : 403 - 430
  • [7] Alday LF, 2010, J HIGH ENERGY PHYS, DOI 10.1007/JHEP01(2010)113
  • [8] Liouville Correlation Functions from Four-Dimensional Gauge Theories
    Alday, Luis F.
    Gaiotto, Davide
    Tachikawa, Yuji
    [J]. LETTERS IN MATHEMATICAL PHYSICS, 2010, 91 (02) : 167 - 197
  • [9] Partition functions of matrix models: First special functions of string theory
    Alexandrov, A
    Morozov, A
    Mironov, A
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2004, 19 (24): : 4127 - 4163
  • [10] MATRIX MODEL-CALCULATIONS BEYOND THE SPHERICAL LIMIT
    AMBJORN, J
    CHEKHOV, L
    KRISTJANSEN, CF
    MAKEENKO, Y
    [J]. NUCLEAR PHYSICS B, 1993, 404 (1-2) : 127 - 172