The boundary supersymmetric sine-Gordon model revisited

TL;DR

This paper revisits the boundary supersymmetric sine-Gordon model, demonstrating it admits a two-parameter family of boundary interactions that preserve integrability and supersymmetry, and proposes the associated boundary S matrix.

Contribution

It establishes the existence of a two-parameter boundary interaction family preserving key symmetries and introduces the boundary S matrix for the first supermultiplet of breathers.

Findings

Two-parameter boundary interaction family confirmed

Boundary S matrix for first supermultiplet proposed

Contradicts previous claims about boundary interactions

Abstract

We argue that, contrary to previous claims, the supersymmetric sine-Gordon model with boundary has a two-parameter family of boundary interactions which preserves both integrability and supersymmetry. We also propose the corresponding boundary S matrix for the first supermultiplet of breathers.