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

Keita Imaizumi (Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551, Japan)

We apply the exact WKB analysis to the quantum Seiberg-Witten curve for 4-dimensional N=2 SU(2) Nf=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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      "title": "Quantum periods and TBA equations for  (2) = 2 SQCD with flavor symmetry"
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      "value": "We apply the exact WKB analysis to the quantum Seiberg-Witten curve for 4-dimensional <math><mi>N</mi><mo>=</mo><mn>2</mn></math> <math><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math> <math><msub><mrow><mi>N</mi></mrow><mrow><mi>f</mi></mrow></msub><mo>=</mo><mn>2</mn></math> 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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Published on:
25 August 2021
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 816 C (2021)

Article ID: 136270
DOI:
https://doi.org/10.1016/j.physletb.2021.136270
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: