Reflection and transmission of conformal perturbation defects

Abstract

We consider reflection and transmission of interfaces which implement renormalisation group flows between conformal fixed points in two dimensions. Such an RG interface is constructed from the identity defect in the ultraviolet CFT by perturbing the theory on one side of the defect line. We compute reflection and transmission coefficients in perturbation theory to third order in the coupling constant and check our calculations against exact constructions of RG interfaces between coset models.

24 pages, 1 figure. Minor explanations and some references added, typos corrected

References in corpus (8)

• Duality and defects in rational conformal field theory
• Higher Spins & Strings
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• Non-Equilibrium Conformal Field Theories with Impurities
• Counting RG flows
• RG domain wall for the N=1 minimal superconformal models
• Transport Process in Multi-Junctions of Quantum Systems
• Fusion of conformal interfaces and bulk induced boundary RG flows

Cited by in corpus (6)

• Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
• Double Trace Interfaces
• Universal entanglement signatures of interface conformal field theories
• 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
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed
• Defects and Perturbation