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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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