Deformed planar topological open string amplitudes on Seiberg-Witten curve

Details Deformed planar topological open string amplitudes on Seiberg-Witten curve Deformed planar topological open string amplitudes on Seiberg-Witten curve

2012-01-31

arxiv.org/abs/1201.6618v3

Physics

High Energy Physics

High Energy Physics - Theory

27 pages. v2: minor changes and references added. v3: minor corrections and one reference added

Scientific paper

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.

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