Boundary S-matrix for the Tricritical Ising Model

TL;DR

This paper derives the boundary S-matrix for the tricritical Ising model with boundary conditions, exploring boundary flows and their relation to conformal boundary states, advancing understanding of boundary integrable models.

Contribution

It provides explicit boundary S-matrices for the tricritical Ising model with various boundary conditions and analyzes boundary flows induced by perturbations.

Findings

Explicit boundary S-matrices for different boundary conditions

Identification of boundary flows between conformal states

Demonstration of perturbation-induced boundary condition transitions

Abstract

The Tricritical Ising model perturbed by the subleading energy operator \Phi_(3/5) was known to be an Integrable Scattering Theory of massive kinks and in fact preserves supersymmetry. We consider here the model defined on the half-plane with a boundary and computed the associated factorizable boundary S-matrix. The conformal boundary conditions of this model were identified and the corresponding S-matrices were found. We also show how some of these S-matrices can be perturbed and generate ``flows'' between different boundary conditions.