Boundary renormalisation group flows of the supersymmetric Lee-Yang model and its extensions

TL;DR

This paper investigates boundary effects in the supersymmetric Lee-Yang model, deriving reflection factors, and analyzing boundary renormalisation group flows using TBA and TCSA methods.

Contribution

It introduces boundary reflection factors for the supersymmetric Lee-Yang model and studies its boundary renormalisation group flows with numerical and analytical techniques.

Findings

Reflection factors for Neveu-Schwarz boundary conditions derived from sine-Gordon model

Boundary RG flows characterized using TBA and TCSA methods

Validation of reflection factors through Boundary Truncated Conformal Space Approach

Abstract

In this paper we examine the supersymmetric Lee-Yang model in the presence of boundaries. We determine the reflection factors for the Neveu-Schwarz type boundary conditions from the reduction of the supersymmetric sine-Gordon model and check them by using Boundary Truncated Conformal Space Approach in the massless case. We explore the boundary renormalisation groups flows using boundary TBA and TCSA.