Loop models and their critical points

Abstract

Loop models have been widely studied in physics and mathematics, in problems ranging from polymers to topological quantum computation to Schramm-Loewner evolution. I present new loop models which have critical points described by conformal field theories. Examples include both fully-packed and dilute loop models with critical points described by the superconformal minimal models and the SU(2)_2 WZW models. The dilute loop models are generalized to include SU(2)_k models as well.

20 pages, 15 figures

References in corpus (2)

• Competing density-wave orders in a one-dimensional hard-boson model
• Stochastic Loewner evolution for conformal field theories with Lie-group symmetries

Cited by in corpus (2)

• Interacting anyons in topological quantum liquids: The golden chain
• Loop models for CFTs