Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds

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.

37 pages, 6 figures

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• Properties of RG interfaces for 2D boundary flows
• Double Trace Interfaces
• Universal entanglement signatures of interface conformal field theories
• Janus and RG-flow interfaces in three-dimensional gauged supergravity
• Conformal interfaces between free boson orbifold theories
• RG Domain Wall for the General su(2) Coset Models
• Phase transitions in GLSMs and defects
• Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
• Bulk induced boundary perturbations for N=1 superconformal field theories
• Defects and boundary RG flows in $\mathbb{C}/{\mathbb{Z}}_d$
• Entropy of conformal perturbation defects
• Non-geometric Backgrounds Based on Topological Interfaces
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• Boundary Criticality of Complex Conformal Field Theory: A Case Study in the Non-Hermitian 5-State Potts Model
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Reconstructing the boundary of AdS from an infrared defect
• Fusion of interfaces in Landau-Ginzburg models: a functorial approach
• RG flow between $W_3$ minimal models by perturbation and domain wall approaches
• Entanglement entropy through conformal interfaces in the 2D Ising model
• Topological defects in string theory orbifolds with target spaces $\mathbb{C}/{\mathbb{Z}}_N$ and $S^1/{\mathbb{Z}}_2$
• Foams, iterated wreath products, field extensions and Sylvester sums