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arXiv · hep-th/0503013

Stochastic Loewner evolution for conformal field theories with Lie-group symmetries

E. Bettelheim·I. A. Gruzberg·A. W. W. Ludwig·P. Wiegmann
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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.

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E. Bettelheim, I. A. Gruzberg, A. W. W. Ludwig, P. Wiegmann. 2005-12-15. Stochastic Loewner evolution for conformal field theories with Lie-group symmetries. https://doi.org/10.1103/physrevlett.95.251601

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