Elementary functions in thermodynamic Bethe ansatz

Some years ago, Fendley found an explicit solution to the thermodynamic Bethe ansatz (TBA) equation for an N = 2 supersymmetric theory in 2D with a specific F-term. Motivated by this, we seek explicit solutions for other super-potential cases utilizing the idea from the ODE/IM correspondence. We fin...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2015-05, Vol.48 (20), p.205204-27
Main Author: Suzuki, J
Format: Article
Language:English
Subjects:
Bessel functions
Functions (mathematics)
Mathematical analysis
Supersymmetry
Thermodynamics
Two dimensional
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Summary:Some years ago, Fendley found an explicit solution to the thermodynamic Bethe ansatz (TBA) equation for an N = 2 supersymmetric theory in 2D with a specific F-term. Motivated by this, we seek explicit solutions for other super-potential cases utilizing the idea from the ODE/IM correspondence. We find that the 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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/48/20/205204