A quantum isomonodromy equation and its application to N=2 SU(N) gauge theories

preprint2010arXivOpen access

Abstract

We give an explicit differential equation which is expected to determine the instanton partition function in the presence of the full surface operator in N=2 SU(N) gauge theory. The differential equation arises as a quantization of a certain Hamiltonian system of isomonodromy type discovered by Fuji, Suzuki and Tsuda.

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