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On the Thermodynamic Bethe Ansatz Equation in Sinh-Gordon Model
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abstract
Two implicit periodic structures in the solution of sinh-Gordon thermodynamic Bethe ansatz equation are considered. The analytic structure of the solution as a function of complex $\theta$ is studied to some extent both analytically and numerically. The results make a hint how the CFT integrable structures can be relevant in the sinh-Gordon and staircase models. More motivations are figured out for subsequent studies of the massless sinh-Gordon (i.e. Liouville) TBA equation.
Forward citations
Cited by 2 Pith papers
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Integrability and cycles of deformed ${\cal N}=2$ gauge theory
Baxter's T and Q functions of self-dual Liouville theory are identified with the two deformed Seiberg-Witten cycles, a and a_D, of pure N=2 SU(2) gauge theory in the Nekrasov-Shatashvili limit.
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Non-perturbative approaches to the quantum Seiberg-Witten curve
The Borel-resummed quantum periods and the Fredholm determinant of the modified Mathieu operator are computed from TBA equations and topological string theory, with high-precision numerical tests against WKB and direc...
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