Integrability of the N=2 boundary sine-Gordon model

TL;DR

This paper constructs a boundary Lagrangian for the N=2 supersymmetric sine-Gordon model that maintains supersymmetry and integrability at all orders, using matrix factorisations to express the supersymmetry constraints.

Contribution

It introduces a boundary Lagrangian preserving supersymmetry and integrability for the N=2 sine-Gordon model, employing matrix factorisations to formulate the supersymmetry constraints.

Findings

Boundary Lagrangian preserving (B-type) supersymmetry

Maintains integrability to all orders in coupling constant g

Uses matrix factorisations for supersymmetry constraints

Abstract

We construct a boundary Lagrangian for the N=2 supersymmetric sine-Gordon model which preserves (B-type) supersymmetry and integrability to all orders in the bulk coupling constant g. The supersymmetry constraint is expressed in terms of matrix factorisations.