Stochastic Loewner evolution for conformal field theories with Lie-group symmetries
High Energy Physics - Theory
2007-05-23 v3 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0503013,
title = {Stochastic Loewner evolution for conformal field theories with Lie-group symmetries},
author = {E. Bettelheim and I. A. Gruzberg and A. W. W. Ludwig and P. Wiegmann},
journal= {arXiv preprint arXiv:hep-th/0503013},
year = {2007}
}