Exact WKB analysis and TBA equations for the Mathieu equation

We derive the Thermodynamic Bethe Ansatz (TBA) equations for the exact WKB periods of the Mathieu equation in the weak coupling region. We will use the TBA equations to calculate the quantum corrections to the WKB periods, which are regarded as the quantum periods of N=2 SU(2) super Yang-Mills theor...

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Bibliographic Details
Main Author: Keita Imaizumi
Format: Article
Language:English
Published: Elsevier 2020-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026932030304X