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arXiv · 1501.00773

Elementary functions in Thermodynamic Bethe Ansatz

Junji Suzuki
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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.

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Junji Suzuki. 2015-01-05. Elementary functions in Thermodynamic Bethe Ansatz. https://doi.org/10.1088/1751-8113%2F48%2F20%2F205204

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