Minimal model boundary flows and c=1 CFT

TL;DR

This paper studies boundary perturbations in minimal models near c=1, proposing conjectures for IR limits of certain flows, supported by numerical checks, and uncovers evidence for new integrable boundary flows.

Contribution

It introduces a conjecture for IR limits of boundary flows in minimal models near c=1 and provides numerical evidence for a new series of integrable boundary flows.

Findings

Conjectured IR limits for boundary flows in minimal models near c=1

Numerical verification using truncated conformal space approach

Evidence for a new series of integrable boundary flows

Abstract

We consider perturbations of unitary minimal models by boundary fields. Initially we consider the models in the limit as c -> 1 and find that the relevant boundary fields all have simple interpretations in this limit. This interpretation allows us to conjecture the IR limits of flows in the unitary minimal models generated by the fields \phi_{rr} of `low' weight. We check this conjecture using the truncated conformal space approach. In the process we find evidence for a new series of integrable boundary flows.