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SLE_k growth processes and conformal field theories

M. Bauer·D. Bernard
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Abstract

SLE_k stochastic processes describe growth of random curves which, in some cases, may be identified with boundaries of two dimensional critical percolating clusters. By generalizing SLE_k 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 c_k=(3k-8)(6/k-1)/2 and zero modes -- observables which are conserved in mean -- of the SLE_k stochastic processes.

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M. Bauer, D. Bernard. 2002-06-26. SLE_k growth processes and conformal field theories. https://doi.org/10.1016/s0370-2693(02)02423-1

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