Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds

TL;DR

This paper introduces defect lines as a novel method to analyze bulk perturbations and boundary condition flows in N=2 supersymmetric minimal models within conformal field theories.

Contribution

It presents a new approach using defect lines to study bulk perturbations and their effects on boundary conditions in supersymmetric models.

Findings

Defect lines effectively reproduce boundary RG flow behavior.

Fusion with defects models boundary condition evolution.

Application to N=2 supersymmetric minimal models.

Abstract

We propose defect lines as a useful tool to study bulk perturbations of conformal field theories, in particular to analyse the induced renormalisation group flows of boundary conditions. As a concrete example we investigate bulk perturbations of N=2 supersymmetric minimal models. To these perturbations we associate a special class of defects between the respective UV and IR theories, whose fusion with boundary conditions indeed reproduces the behaviour of the latter under the corresponding RG flows. v2: Some explanations added in section 4, minor changes.