Defect flows in minimal models

TL;DR

This paper explores the renormalisation group flows of defects in Virasoro minimal models, identifying fixed points and their properties using multiple analytical and numerical methods, including a new conjectured defect near central charge one.

Contribution

It introduces a comprehensive analysis of defect flows in minimal models, including the identification of a potentially new non-trivial conformal defect.

Findings

Confirmed recent results for the Ising model

Found six fixed points near central charge one

Conjectured the existence of a new non-trivial defect

Abstract

In this paper we study a simple example of a two-parameter space of renormalisation group flows of defects in Virasoro minimal models. We use a combination of exact results, perturbation theory and the truncated conformal space approach to search for fixed points and investigate their nature. For the Ising model, we confirm the recent results of Fendley et al. In the case of central charge close to one, we find six fixed points, five of which we can identify in terms of known defects and one of which we conjecture is a new non-trivial conformal defect. We also include several new results on exact properties of perturbed defects and on the renormalisation group in the truncated conformal space approach.