Spectrum of boundary states in N=1 SUSY sine-Gordon theory

TL;DR

This paper investigates the boundary states in N=1 supersymmetric sine-Gordon theory, identifying two consistent boundary bootstrap solutions linked to different boundary supercharges, aligning with recent Lagrangian boundary theories.

Contribution

It introduces two distinct boundary bootstrap solutions for N=1 SUSY sine-Gordon theory, connecting them to specific boundary supercharges and recent Lagrangian models.

Findings

Two boundary bootstrap solutions identified

Correspondence with different boundary supercharges

Alignment with recent Lagrangian boundary theories

Abstract

We consider N=1 supersymmetric sine-Gordon theory (SSG) with supersymmetric integrable boundary conditions (boundary SSG = BSSG). We find two possible ways to close the boundary bootstrap for this model, corresponding to two different choices for the boundary supercharge. We argue that these two bootstrap solutions should correspond to the two integrable Lagrangian boundary theories considered recently by Nepomechie.