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

arXiv comment15 pages, v2: typos corrected and references added, v3: discussion, appendix and references added

References in corpus (5)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry
• On AGT relation in the case of U(3)
• Five-dimensional AGT Relation and the Deformed beta-ensemble
• Laumon Spaces and the Calogero-Sutherland Integrable System

Cited by in corpus (6)

• Spectral Duality Between Heisenberg Chain and Gaudin Model
• Spectral Duality in Integrable Systems from AGT Conjecture
• Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
• A slow review of the AGT correspondence
• Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks
• Topology of irregular isomonodromy times on a fixed pointed curve