Thermodynamics and form factors of supersymmetric integrable field theories

Abstract

We study on-shell and off-shell properties of the supersymmetric sinh-Gordon and perturbed SUSY Yang-Lee models using the thermodynamic Bethe ansatz and form factors. Identifying the supersymmetric models with the Eight Vertex Free Fermion Model, we derive an inversion relation for the inhomogeneous transfer matrix and TBA equations and get correct UV results. We obtain two-point form factors of the trace of the energy-momentum tensor using the Watson equations and their SUSY transformations. As an application, we compute the UV central charge using these form factors and the spectral representation of the C-theorem.