Loop models and their critical points

Details Loop models and their critical points Loop models and their critical points

2006-09-19

arxiv.org/abs/cond-mat/0609435v2

J.Phys.A39:15445,2006

Physics

Condensed Matter

Statistical Mechanics

20 pages, 15 figures

Scientific paper

10.1088/0305-4470/39/50/011

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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