Exact boundary S-matrices of the supersymmetric sine-Gordon theory on a half line

TL;DR

This paper computes exact boundary scattering amplitudes for the supersymmetric sine-Gordon model on a half line using boundary Yang-Baxter equations and bulk S-matrix results.

Contribution

It provides the first exact boundary S-matrices for the supersymmetric sine-Gordon theory with integrable boundary potentials.

Findings

Exact boundary S-matrices derived for the model

Consistency with bulk S-matrix results confirmed

Advances understanding of boundary integrability in supersymmetric models

Abstract

Using the boundary Yang-Baxter equations and exact results on the bulk $S$-matrices, we compute exact boundary scattering amplitudes of the supersymmetric sine-Gordon model with integrable boundary potentials.