TBA boundary flows in the tricritical Ising field theory

TL;DR

This paper investigates boundary flows in the tricritical Ising field theory, validating proposed boundary S matrices through boundary entropy analysis and developing fusion procedures for exact solutions.

Contribution

It introduces a fusion method for boundary RSOS models and confirms boundary flow descriptions for both supersymmetric and nonsupersymmetric cases.

Findings

Boundary entropies match expected boundary flows.

Derived exact inversion identities for TIM.

Confirmed TBA descriptions for boundary flows.

Abstract

Boundary S matrices for the boundary tricritical Ising field theory (TIM), both with and without supersymmetry, have previously been proposed. Here we provide support for these S matrices by showing that the corresponding boundary entropies are consistent with the expected boundary flows. We develop the fusion procedure for boundary RSOS models, with which we derive exact inversion identities for the TIM. We confirm the TBA description of nonsupersymmetric boundary flows of Lesage et al., and we obtain corresponding descriptions of supersymmetric boundary flows.