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

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arxiv 2103.02248 v3 pith:BBYXXMPK submitted 2021-03-03 hep-th

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

Keita Imaizumi This is my paper
classification hep-th
keywords quantumsqcdequationsflavormathcalperiodsproblemsymmetry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We apply the exact WKB analysis to the quantum Seiberg-Witten curve for 4-dimensional $\mathcal{N} = 2\ SU(2)\ N_f=2$ 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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. TBA equations for $SU(r+1)$ quantum Seiberg-Witten curve: higher-order Mathieu equation

    hep-th 2026-04 unverdicted novelty 7.0

    TBA equations are derived for the higher-order Mathieu equation of the SU(r+1) quantum Seiberg-Witten curve, with an analytic effective central charge and subleading agreement with the WKB method.

  2. Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics

    hep-th 2026-07 conditional novelty 6.0

    Angular eigenvalues of the extreme charged C-metric are computed analytically via a confluent limit of SU(2)×SU(2) quiver gauge theory, matching numerical results.

  3. Exact WKB and Quantum Periods for Extremal Black Hole Quasinormal Modes

    hep-th 2026-05 unverdicted novelty 6.0

    Exact WKB with high-order quantum period computations and Borel-Padé resummation reproduces quasinormal mode frequencies for extremal Reissner-Nordström and Kerr black holes.

  4. TBA equations for $SU(r+1)$ quantum Seiberg-Witten curve: higher-order Mathieu equation

    hep-th 2026-04 unverdicted novelty 6.0

    Derives TBA equations for the higher-order Mathieu equation of the SU(r+1) quantum Seiberg-Witten curve, obtains an analytic effective central charge from Y-function boundary conditions at theta to -infinity, and veri...