SLEk growth processes and conformal field theories
Abstract
SLEk stochastic processes describe growth of random curves which, in some cases, may be identified with boundaries of two dimensional critical percolating clusters. By generalizing SLEk growths to formal Markov processes on the central extension of the 2d conformal group, we establish a connection between conformal field theories with central charges ck=(3k-8)(6/k-1)/2 and zero modes -- observables which are conserved in mean -- of the SLEk stochastic processes.
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