Phys. Rev. Lett. 95, 251601 (2005) [4 pages]

Stochastic Loewner Evolution for Conformal Field Theories with Lie Group Symmetries

Abstract

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E. Bettelheim¹, I. A. Gruzberg¹, A. W. W. Ludwig², and P. Wiegmann¹
¹James Frank Institute, University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637, USA
²Department of Physics, University of California, Santa Barbara, California 93106, USA

Received 3 March 2005; published 15 December 2005

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.95.251601

DOI:

10.1103/PhysRevLett.95.251601

PACS:

11.25.Hf, 05.10.Gg

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Phys. Rev. Lett. 95, 251601 (2005) [4 pages]

Stochastic Loewner Evolution for Conformal Field Theories with Lie Group Symmetries