Defects and Perturbation

TL;DR

This paper studies how small perturbations affect topological defects in 2D conformal field theories, analyzing changes in key quantities like the g-factor, reflectivity, and entanglement entropy during RG flows.

Contribution

It provides a perturbative framework for understanding defect deformations and presents explicit examples in minimal models, advancing the theoretical understanding of defect dynamics.

Findings

Computed changes in g-factor, reflectivity, and entanglement entropy under perturbations.

Identified instances of short RG flows in Virasoro and Super-Virasoro minimal models.

Established a perturbative approach applicable to defect analysis in CFTs.

Abstract

We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the $g$-factor, the reflectivity, and the entanglement entropy of the conformal defect at the end of these short RG flows. We also give instances of such flows in the diagonal Virasoro and Super-Virasoro Minimal Models.