Boundary S matrices with N=2 supersymmetry

TL;DR

This paper proposes an exact boundary S matrix for breathers in the N=2 supersymmetric sine-Gordon model, revealing its parameter structure and supersymmetry properties, with implications for boundary integrable models.

Contribution

It introduces a new exact boundary S matrix with three parameters for the N=2 supersymmetric sine-Gordon model and clarifies its supersymmetry commutation properties.

Findings

Boundary S matrix has three independent parameters.

The S matrix commutes with two supersymmetry charges.

Implications for general N=2 supersymmetric boundary models.

Abstract

We propose the exact boundary S matrix for breathers of the N=2 supersymmetric sine-Gordon model. We argue that this S matrix has three independent parameters, in agreement with a recently-proposed action. We also show, contrary to a previous claim, that the ``universal'' supersymmetric boundary S matrix commutes with two supersymmetry charges. General N=2 supersymmetric boundary integrable models are expected to have boundary S matrices with a similar structure.