Codes for solving the quantum Wronskians of Confluent Heun equations, in terms of N=2 supersymmetric SU(2) gauge prepotential.
(work in progress...)
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Asymptotic Q functions Nf=3: Boundary condition for the quantum Wronskian of Confluent Heun equation, in terms of N=2 supersymmetric SU(2) Nf=3 gauge prepotential.
This code computes the asymptotic behaviour of Baxter's Q functions, solutions of the quantum Wronskian, defined as regularized integrals through Ordinary Differential Equations / Integrable Models (ODE/IM) correspondence. Then by mapping the ODE parameter u into the gauge period a (through Matone's relation), the Q functions get expressed in terms of gauge periods a,A_D and prepotential F, for Nf=3 SU(2) Nekrasov-Shatashvili (NS) N=2 gauge theory. The asymptotic expansion is double, at leading order in gauge deformation parameter h->0 and at second order O(Λ^2) in instanton parameter Λ->0 . Our results from ODE/IM match perfectly analogue ones found previously through Alday-Gaiotto-Tachikawa (AGT) duality.
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Program Asymptotic Q function Nf=0 ...
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Exact Q function Nf=3 ...