A note on the IR limit of the NLIEs of boundary supersymmetric sine-Gordon model

TL;DR

This paper analyzes the infrared limit of nonlinear integral equations for the boundary supersymmetric sine-Gordon model, deriving the boundary S matrix and relating lattice parameters to IR physics.

Contribution

It provides the first detailed computation of the boundary S matrix and the lattice-IR relation for the BSSG model from NLIEs with general boundary conditions.

Findings

Derived the boundary S matrix for the BSSG model.

Established the lattice-IR parameter relation.

Analyzed the IR limit of NLIEs for boundary supersymmetric models.

Abstract

We consider the infrared (IR) limit of the nonlinear integral equations (NLIEs) for the boundary supersymmetric sine-Gordon (BSSG) model, previously obtained from the NLIEs for the inhomogeneous open spin-1 XXZ quantum spin chain with general integrable boundary terms, for values of the boundary parameters which satisfy a certain constraint. In particular, we compute the boundary S matrix and determine the "lattice - IR" relation for the BSSG parameters.