A quantum isomonodromy equation and its application to N=2 SU(N) gauge theories
Yasuhiko Yamada
TL;DR
This paper introduces a differential equation derived from a quantum isomonodromy system, aimed at computing instanton partition functions in N=2 SU(N) gauge theories with surface operators, linking gauge theory and integrable systems.
Contribution
It presents a new explicit differential equation as a quantization of an isomonodromy Hamiltonian system relevant to N=2 SU(N) gauge theories with surface operators.
Findings
Derivation of a differential equation for instanton partition functions.
Connection established between gauge theories and quantum isomonodromy systems.
Provides a tool for exact computations in supersymmetric gauge theories.
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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