The scaling supersymmetric Yang-Lee model with boundary

TL;DR

This paper introduces a boundary version of the scaling supersymmetric Yang-Lee model, proposing its boundary S matrix, analyzing its supersymmetry, and confirming consistency with boundary flow using TBA methods.

Contribution

It defines the boundary supersymmetric Yang-Lee model, proposes its boundary S matrix, and demonstrates supersymmetry and flow consistency through TBA analysis.

Findings

Proposed a non-diagonal boundary S matrix for the model.

Identified an unbroken supersymmetry integral of motion.

Confirmed the S matrix's consistency with boundary flow via TBA.

Abstract

We define the scaling supersymmetric Yang-Lee model with boundary as the (1,3) perturbation of the superconformal minimal model SM(2/8) (or equivalently, the (1,5) perturbation of the conformal minimal model M(3/8)) with a certain conformal boundary condition. We propose the corresponding boundary S matrix, which is not diagonal for general values of the boundary parameter. We argue that the model has an integral of motion corresponding to an unbroken supersymmetry, and that the proposed S matrix commutes with a similar quantity. We also show by means of a boundary TBA analysis that the proposed boundary S matrix is consistent with massless flow away from the ultraviolet conformal boundary condition.