Defects and bulk perturbations of boundary Landau-Ginzburg orbifolds

2007/12/31 by Ilka Brunner, Daniel Roggenkamp · 6 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/04/001

published as JHEP0804:001,2008 · 37 pages, 6 figures

arxiv created 2008/03/25 · openalex publication_date 2008/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On Decay of K-theory
• D-Branes And Mirror Symmetry

Cited by

• N=2 RG flows, Non-Invertible Symmetries and Matrix Factorisations
• Attractor flows from defect lines
• Defects and perturbation
• Phase transitions in GLSMs and defects
• Mixing with descendant fields in perturbed minimal CFT models
• Double trace interfaces

Related

• Topological defects and SUSY RG flow
• B-type defects in Landau-Ginzburg models
• Entropy of conformal perturbation defects
• Topological defects in string theory orbifolds with target spaces ℂ/ℤ_N and S¹/ℤ₂
• Defect lines, dualities, and generalised orbifolds