Quantum periods and TBA equations for N = 2SU(2) Nf = 2 SQCD with flavor symmetry

We apply the exact WKB analysis to the quantum Seiberg-Witten curve for 4-dimensional N = 2 SU (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.