Thermodynamics and Form Factors of Supersymmetric Integrable Field Theories

TL;DR

This paper investigates the thermodynamic and form factor properties of supersymmetric integrable field theories, deriving key equations and calculating the UV central charge to deepen understanding of these models.

Contribution

It introduces a novel approach to analyze supersymmetric models using the thermodynamic Bethe ansatz and form factors, including derivations of inversion relations and UV results.

Findings

Derived inversion relations for inhomogeneous transfer matrices.

Calculated two-point form factors of the energy-momentum tensor.

Computed the UV central charge using form factors and the C-theorem.

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 inversion relation for inhomogeneous transfer matrix and TBA equations and get correct UV results. We obtain two-point form factors of the trace of 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 spectral representation of the $C$-theorem.