Chiral extensions of the WZNW phase space, Poisson-Lie symmetries and groupoids

DOI10.1016/S0550-3213(99)00738-5zbMath0961.81098arXivhep-th/9910046OpenAlexW2000458350MaRDI QIDQ1572490

László Palla, János Balog, László Fehér

Publication date: 12 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9910046

Mathematics Subject Classification ID

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) Poisson manifolds; Poisson groupoids and algebroids (53D17) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items

Canonical quantization of the boundary Wess-Zumino-Witten model, Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles, The chiral WZNW phase space as a quasi-Poisson space, Nested \(T\)-duality, Causal Poisson brackets of the \(SL(2,\mathbb{R})\) WZNW model and its coset theories, Poisson structure and Moyal quantisation of the Liouville theory, Generalizations of Felder's elliptic dynamical \(r\)-matrices associated with twisted loop algebras of self-dual Lie algebras, q → ∞ limit of the quasitriangular WZW model, Poisson-Lie \(T\)-duality and non-trivial monodromies, Poisson-Lie Dynamical r-matrices from Dirac Reduction, ON MOMENT MAPS ASSOCIATED TO A TWISTED HEISENBERG DOUBLE

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