Elementary functions in thermodynamic Bethe ansatz

J Suzuki
2015 Journal of Physics A: Mathematical and Theoretical  
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.
doi:10.1088/1751-8113/48/20/205204 fatcat:gumqsv7jsjejnba4yf4k75wljy