Exact solution of the supersymmetric sinh-Gordon model with boundary

TL;DR

This paper provides an exact solution to the boundary supersymmetric sinh-Gordon model, including inversion identities, TBA equations, and boundary entropy, revealing complex boundary behaviors related to superconformal models.

Contribution

It introduces an exact solution for the boundary supersymmetric sinh-Gordon model, deriving key equations and analyzing boundary entropy and roaming trajectories.

Findings

Derived exact inversion identity and TBA equations

Computed boundary entropy and identified roaming trajectories

Linked boundary behaviors to superconformal models

Abstract

The boundary supersymmetric sinh-Gordon model is an integrable quantum field theory in 1+1 dimensions with bulk N=1 supersymmetry, whose bulk and boundary S matrices are not diagonal. We present an exact solution of this model. In particular, we derive an exact inversion identity and the corresponding thermodynamic Bethe Ansatz equations. We also compute the boundary entropy, and find a rich pattern of boundary roaming trajectories corresponding to c < 3/2 superconformal models.