SLE_k growth processes and conformal field theories

Details SLE_k growth processes and conformal field theories SLE_k growth processes and conformal field theories

2002-06-18

arxiv.org/abs/math-ph/0206028v3

Phys.Lett.B543:135-138,2002

Physics

Mathematical Physics

6 pages, minor changes leading to a clearer formulation, references added

Scientific paper

10.1016/S0370-2693(02)02423-1

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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