title: Stochastic Loewner evolution for conformal field theories with lie group symmetries.
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.
authors.affiliation: James Frank Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA.
authors.forename: E
authors.initials: E
authors.lastname: Bettelheim
authors.forename: I A
authors.initials: IA
authors.lastname: Gruzberg
authors.forename: A W W
authors.initials: AW
authors.lastname: Ludwig
authors.forename: P
authors.initials: P
authors.lastname: Wiegmann