Quantum Group Symmetries in Conformal Field Theory

1992/10/19 by Krzysztof Gawędzki, Krzysztof Gawȩdzki, Gawȩdzki, Krzysztof
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9210100

13 pages, Talk given at Oji Seminar on Quantum Analysis, Kyoto, June 25-29, 1992

arxiv created 1992/10/19 · openalex publication_date 1992/10/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Quantum groups play the role of hidden symmetries of some two-dimensional field theories. We discuss how they appear in this role in the Wess-Zumino-Witten model of conformal field theory.

Related

• A brief history of hidden quantum symmetries in Conformal Field Theories
• On quantum group symmetries of conformal field theories
• Symmetries in Two Dimensional Conformal Field Theories and Related\n Integrable Models
• q_R-conformal symmetries in 2D nonlocal quantum field theory, categorical representation theory, and Virasoro algebra
• Infinite Quantum Group Symmetry in 2d Quantum Field Theory