Supersymmetry in the boundary tricritical Ising field theory

TL;DR

This paper demonstrates that supersymmetry and integrability can coexist in the boundary tricritical Ising field theory by identifying specific boundary conditions and perturbations that preserve both properties.

Contribution

It introduces two sets of boundary conditions and perturbations that maintain supersymmetry and integrability in the boundary tricritical Ising model, expanding understanding of boundary field theories.

Findings

Two supersymmetric and integrable boundary conditions identified

Conserved supersymmetry charges are specific linear combinations of Q, ar Q, and mma

Boundary conditions relate to deformations of previously studied theories

Abstract

We argue that it is possible to maintain both supersymmetry and integrability in the boundary tricritical Ising field theory. Indeed, we find two sets of boundary conditions and corresponding boundary perturbations which are both supersymmetric and integrable. The first set corresponds to a ``direct sum'' of two non-supersymmetric theories studied earlier by Chim. The second set corresponds to a one-parameter deformation of another theory studied by Chim. For both cases, the conserved supersymmetry charges are linear combinations of Q, \bar Q and the spin-reversal operator \Gamma.