Stochastic Loewner Evolution for Conformal Field Theories with Lie Group Symmetries

E. Bettelheim, I. A. Gruzberg, A. W. W. Ludwig, and P. Wiegmann

Phys. Rev. Lett. 95, 251601 – Published 15 December 2005

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.

Received 3 March 2005

DOI:https://doi.org/10.1103/PhysRevLett.95.251601

Authors & Affiliations

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

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Vol. 95, Iss. 25 — 16 December 2005

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Physical Review Letters

Stochastic Loewner Evolution for Conformal Field Theories with Lie Group Symmetries

E. Bettelheim, I. A. Gruzberg, A. W. W. Ludwig, and P. Wiegmann

Phys. Rev. Lett. 95, 251601 – Published 15 December 2005

Abstract

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