Topological defects and SUSY RG flow

TL;DR

This paper investigates how bulk perturbations influence topological defects in N=(2,2) superconformal minimal models, using Landau-Ginzburg and matrix factorizations to identify defects surviving RG flow.

Contribution

It introduces a method to analyze the impact of RG flows on topological defects via Landau-Ginzburg models and matrix factorizations, highlighting symmetries that persist in the IR.

Findings

Identification of symmetries surviving RG flow

Characterization of topological defects via matrix factorizations

Application of Landau-Ginzburg formulation to RG flows

Abstract

We study the effect of bulk perturbations of N=(2,2) superconformal minimal models on topological defects. In particular, symmetries and more general topological defects which survive the flow to the IR are identified. Our method is to consider the topological subsector and make use of the Landau-Ginzburg formulation to describe RG flows and topological defects in terms of matrix factorizations.