q → ∞ limit of the quasitriangular WZW model

DOI10.1080/jnmp.2007.14.4.1zbMath1159.81380arXivmath-ph/0611066OpenAlexW3100916960MaRDI QIDQ3607669

Ctirad Klimčík

Publication date: 26 February 2009

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0611066

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• Non-Abelian bosonization in two dimensions
• Symplectic structures associated to Lie-Poisson groups
• Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids
• Poisson structures and their normal forms
• Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field theory
• QUASITRIANGULAR WZW MODEL