SLE_k growth processes and conformal field theories
Mathematical Physics
2008-11-26 v3 Statistical Mechanics
High Energy Physics - Theory
math.MP
Probability
Representation Theory
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.
Keywords
Cite
@article{arxiv.math-ph/0206028,
title = {SLE_k growth processes and conformal field theories},
author = {M. Bauer and D. Bernard},
journal= {arXiv preprint arXiv:math-ph/0206028},
year = {2008}
}
Comments
6 pages, minor changes leading to a clearer formulation, references added