%0 Journal Article
%T Stochastic Loewner evolution for conformal field theories with Lie-group symmetries
%A E. Bettelheim
%A I. A. Gruzberg
%A A. W. W. Ludwig
%A P. Wiegmann
%J Mathematics
%D 2005
%I arXiv
%R 10.1103/PhysRevLett.95.251601
%X The Stochastic Loewner evolution is a recent tool in the study of two-dimensional critical systems. We extend this approach to the case of critical systems with continuous symmetries, such as SU(2) Wess-Zumino-Witten models, where domain walls carry an additional spin 1/2 degree of freedom. We show that the stochastic evolution results in the Knizhnik-Zamolodchikov equation for correlation functions.
%U http://arxiv.org/abs/hep-th/0503013v3