Stochastic Loewner evolution for conformal field theories with Lie-group symmetries
Mar, 2005
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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.- 05.10.Gg
- 11.25.Hf
- conformal field theory
- string theory
- field theory: conformal
- dimension: 2
- Wess-Zumino-Witten model
- group theory: Lie
- current algebra
- central charge
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