Quantum periods and TBA equations for $\mathcal{N}=2SU(2)N_f=2$ SQCD with flavor symmetry

Abstract

We apply the exact WKB analysis to the quantum Seiberg-Witten curve for 4-dimensional $\mathcal{N}=2SU(2)N_f=2$ SQCD with the flavor symmetry. The discontinuity and the asymptotic behavior of the quantum periods define a Riemann-Hilbert problem. We derive the thermodynamic Bethe ansatz (TBA) equations as a solution to this problem. We also compute the effective central charge of the underlying CFT, which is shown to be proportional to the one-loop beta function of the SQCD.

17 pages, 2 figures, (v2) references are added, (v3) typos corrected, references are added, minor modification, published version

References in corpus (4)

• Nekrasov prepotential with fundamental matter from the quantum spin chain
• Quantum Seiberg-Witten curve and Universality in Argyres-Douglas theories
• Pure N=2 Super Yang-Mills and Exact WKB
• Opers and TBA

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• Wall-crossing of TBA equations and WKB periods for the third order ODE
• Nonperturbative Formulation of Resonances in Quantum Mechanics Based on Exact WKB Method
• Painlevé Kernels and Surface Defects at Strong Coupling