On the perturbative expansion of boundary reflection factors of the supersymmetric sinh-Gordon model

TL;DR

This paper performs a one-loop perturbative analysis of the boundary reflection factors in the supersymmetric sinh-Gordon model, developing specialized propagators for bosons and fermions on a half-line to verify conjectured exact results.

Contribution

It introduces novel propagator formulations for bosonic and fermionic fields on a half-line and verifies the conjectured reflection factors perturbatively.

Findings

Confirmed the conjectured reflection factors at one-loop order

Developed new propagator techniques for boundary field theories

Provided groundwork for further non-perturbative studies

Abstract

The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted to a half-line contain several novel features and are developed as prerequisites for the calculations.