Reflection factors and exact g-functions for purely elastic scattering theories

TL;DR

This paper explores reflection factors in elastic scattering theories, linking them to boundary condition perturbations and exact g-functions, revealing new boundary flows and boundary-changing operators, with support from quantum group reductions.

Contribution

It introduces a novel connection between reflection factors, boundary perturbations, and g-functions, and proposes new boundary flows driven by boundary-changing operators.

Findings

Identification of reflection factors related to boundary condition perturbations

Support for conjectures via quantum group reductions of sine-Gordon model

Prediction of new flows between conformal boundary conditions

Abstract

We discuss reflection factors for purely elastic scattering theories and relate them to perturbations of specific conformal boundary conditions, using recent results on exact off-critical g-functions. For the non-unitary cases, we support our conjectures using a relationship with quantum group reductions of the sine-Gordon model. Our results imply the existence of a variety of new flows between conformal boundary conditions, some of them driven by boundary-changing operators.