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Elementary functions in Thermodynamic Bethe Ansatz (1501.00773v3)
Published 5 Jan 2015 in math-ph, cond-mat.stat-mech, hep-th, and math.MP
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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