1201.6618 (Masahide Manabe)

Deformed planar topological open string amplitudes on Seiberg-Witten
curve    [PDF]

Masahide Manabe

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.

View original: http://arxiv.org/abs/1201.6618