2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56114Thermodynamic Bethe ansatz equations are coupled non-linear integral equations which appear frequently when solving integrable models. Those associated with models with N=2 supersymmetry can be related to differential equations, among them Painleve III and the Toda hierarchy. In the simplest such case the massless limit of these non-linear integral equations can be solved in terms of the Airy function. This is the only known closed-form solution of thermodynamic Bethe ansatz equations, outside of free or classical models. This turns out to give the spectral determinant of the Schrodinger equation in a linear potential.4 pagesHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable Systemstext