Loop models and their critical points
Paul Fendley
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.
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