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.

arXiv comment17 pages, 2 figures, (v2) references are added, (v3) typos corrected, references are added, minor modification, published version

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Cited by in corpus (5)

• Exact WKB methods in $SU(2)$ $N_f=1$
• Exact WKB and the quantum Seiberg-Witten curve for 4d $N=2$ pure $SU(3)$ Yang-Mills, Part I: Abelianization
• 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