Elementary functions in Thermodynamic Bethe Ansatz

Abstract

Some years ago, Fendley found an explicit solution to Thermodynamic Bethe Ansatz (TBA) equation for a N=2 supersymmetric theory in 2D with a specific F-term. Motivated by this, we seek for explicit solutions for other super-potential cases utilizing the idea from the ODE/IM correspondence. We find that TBA equations, corresponding to a wider class of super-potentials, admit solutions in terms of elementary functions such as modified Bessel functions and confluent hyper-geometric series.

Based on talks given at "Infinite Analysis 2014" (Tokyo, Feb. 2014) and at "Integrable lattice models and quantum field theories" (Bad-Honnef, June 2014), typos corrected

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Cited by in corpus (4)

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• Bethe Ansatz and the Spectral Theory of affine Lie algebra--valued connections II. The non simply--laced case
• TBA equations for the Schrödinger equation with a regular singularity
• Massive ODE/IM Correspondence and Non-linear Integral Equations for $A_r^{(1)}$-type modified Affine Toda Field Equations