Geometry of Wess-Zumino-Witten models of conformal field theory

zbMath0957.81666MaRDI QIDQ5926940

Krzysztof Gawędzki

Publication date: 8 March 2001

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items (12)

Duality between spin networks and the 2D Ising model ⋮ Operator realization of the SU(2) WZNW model ⋮ Elliptic Wess-Zumino-Witten model from elliptic Chern-Simons theory ⋮ Four-dimensional Wess--Zumino--Witten actions ⋮ Global gauge anomalies in two-dimensional bosonic sigma models ⋮ Derivation of the Verlinde formula from Chern-Simons theory and the \(G/G\) model. ⋮ Heat Kernel Measures and Critical Limits ⋮ Lattice Wess-Zumino-Witten model and quantum groups ⋮ The integrability criterion in SU(2) Chern-Simons gauge theory ⋮ The genus-zero bootstrap of chiral vertex operators in Liouville theory ⋮ Smooth functorial field theories from B-fields and D-branes ⋮ Generalized prequantization on principal bundles over homogeneous spaces and its applications

Cites Work

• Representations of affine Kac-Moody algebras, bosonization and resolutions
• On algebraic equations satisfied by correlators in Wess-Zumino-Witten models
• A TOPOLOGICAL APPROACH TO REPRESENTATIONS OF THE IWAHORI-HECKE ALGEBRA
• EXACT SOLUTIONS OF CONFORMAL FIELD THEORY IN TWO DIMENSIONS AND CRITICAL PHENOMENA

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