The boundary N=2 supersymmetric sine-Gordon model

TL;DR

This paper develops an action for the N=2 supersymmetric sine-Gordon model on a half-line, maintaining supersymmetry and integrability, with boundary interactions characterized by multiple parameters.

Contribution

It introduces a novel boundary action for the N=2 supersymmetric sine-Gordon model that preserves supersymmetry and integrability.

Findings

Boundary interaction depends on three continuous parameters.

Model maintains supersymmetry on the half-line.

Model remains integrable with the proposed boundary conditions.

Abstract

We construct an action for the N=2 supersymmetric sine-Gordon model on the half-line, which we argue is both supersymmetric and integrable. The boundary interaction depends on three continuous boundary parameters, as well as the bulk mass parameter.