Loop models for CFTs

Details Loop models for CFTs Loop models for CFTs

2008-06-27

arxiv.org/abs/0806.4520v2

J.Phys.A41:405001,2008

Physics

Condensed Matter

Statistical Mechanics

24 pages, 4 figures, published version, minor changes

Scientific paper

10.1088/1751-8113/41/40/405001

By interpreting the fusion matrix as an adjacency matrix we associate a loop model to every primary operator of a generic conformal field theory. The weight of these loop models is given by the quantum dimension of the corresponding primary operator. Using the known results for the O(n) models we establish a relationship between these models and SLEs. The method is applied to WZW, $c<1$ minimal conformal field theories and other coset models.

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