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arxiv: 1011.0292 · v3 · pith:X4GZISNPnew · submitted 2010-11-01 · ✦ hep-th · math-ph· math.MP

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

classification ✦ hep-th math-phmath.MP
keywords equationdifferentialgaugeisomonodromyapplicationarisescertaindetermine
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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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