Stochastic Loewner Evolution for Conformal Field Theories with Lie Group Symmetries

2005/03/31 by Eldad Bettelheim, E. Bettelheim, I. A. Gruzberg +4 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th #math-ph #math.MP

paper · pdf · doi:10.1103/physrevlett.95.251601

published as Phys.Rev.Lett. 95 (2005) 251601

arxiv created 2005/12/15 · openalex publication_date 2005/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Current algebra and Wess-Zumino model in two dimensions
• Infinite conformal symmetry in two-dimensional quantum field theory
• THE BOUNDARY AND CROSSCAP STATES IN CONFORMAL FIELD THEORIES

Cited by

• Loop models and their critical points