Deformed planar topological open string amplitudes on Seiberg-Witten curve
High Energy Physics - Theory
2015-06-04 v3
Abstract
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.
Cite
@article{arxiv.1201.6618,
title = {Deformed planar topological open string amplitudes on Seiberg-Witten curve},
author = {Masahide Manabe},
journal= {arXiv preprint arXiv:1201.6618},
year = {2015}
}
Comments
27 pages. v2: minor changes and references added. v3: minor corrections and one reference added