The chiral WZNW phase space and its Poisson-Lie groupoid

DOI10.1016/S0370-2693(99)00965-XzbMath0987.81095arXivhep-th/9907050OpenAlexW3103842229WikidataQ127279325 ScholiaQ127279325MaRDI QIDQ5934627

László Palla, László Fehér, János Balog

Publication date: 7 May 2001

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9907050

Mathematics Subject Classification ID

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) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items (4)

Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles ⋮ Quantum groupoids and dynamical categories. ⋮ Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids ⋮ Trigonometric dynamical \(r\)-matrices over Poisson Lie base

Cites Work

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• Lattice Wess-Zumino-Witten model and quantum groups
• Non-Abelian bosonization in two dimensions
• Quantum version of the method of inverse scattering problem
• Dressing symmetries
• Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
• The Gervais-Neveu-Felder equation and the quantum Calogero-Moser systems
• Classical origin of quantum group symmetries in Wess-Zumino-Witten conformal field theory
• Dirac structures and dynamical \(r\)-matrices

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