The reflection coefficient for minimal model conformal defects from perturbation theory

TL;DR

This paper calculates the leading reflection coefficient for a class of conformal defects in Virasoro minimal models using perturbation theory, providing detailed derivations of relevant structure constants.

Contribution

It introduces a method to compute the reflection coefficient for minimal model defects and compares results with previous work on the tricritical Ising model.

Findings

Leading contribution to the reflection coefficient derived

Detailed derivation of structure constants provided

Results compared with previous tricritical Ising model work

Abstract

We consider a class of conformal defects in Virasoro minimal models that have been defined as fixed points of the renormalisation group and calculate the leading contribution to the reflection coefficient for these defects. This requires several structure constants of the operator algebra of the defect fields, for which we present a derivation in detail. We compare our results with our recent work on conformal defects in the tricritical Ising model.