Renormalisation group flows of boundary theories

Abstract

We review recent developments in the theory of renormalisation group flows in minimal models with boundaries. Among these, we discuss in particular the perturbative calculations of Recknagel et al, not only as a tool to predict the IR endpoints of certain flows, but also as a motivation for considering the particular limiting case of c = 1. By treating this limit, we are able to investigate a wide class of perturbations by considering them as deformations away from the c = 1 point. We also present the truncated conformal space approach as a tool for investigating the space of RG flows and checking particular predictions.

12 pages, 13 figures, JHEP proceedings style. References updated. Talk given by GMTW at "Nonperturbative Quantum Effects 2000", published at http://jhep.sissa.it/cgi-bin/PrHEP/cgi/reader/list.cgi?confid=6

References in corpus (4)

• Some Exact Results on Tachyon Condensation in String Field Theory
• Edge Critical Behaviour of the 2-Dimensional Tri-critical Ising Model
• Boundary flows in minimal models
• Integrable Boundaries, Conformal Boundary Conditions and A-D-E Fusion Rules

Cited by in corpus (8)

• Defect Lines and Boundary Flows
• Defect flows in minimal models
• On Perturbations of Unitary Minimal Models by Boundary Condition Changing Operators
• Exact g-function flow between conformal field theories
• Supersymmetry in the boundary tricritical Ising field theory
• Boundary renormalisation group flows of unitary superconformal minimal models
• Landau-Ginzburg Description of Boundary Critical Phenomena in Two Dimensions
• g-function in perturbation theory