Poisson structure and Moyal quantisation of the Liouville theory

DOI10.1016/S0550-3213(01)00525-9zbMath0991.81052arXivhep-th/0105306OpenAlexW3101062490MaRDI QIDQ5949846

G. P. Dzhordzhadze, Gerhard Weigt

Publication date: 4 December 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0105306

zbMATH Keywords

symplectic structure\(\text{SL}(2,\mathbb{R})\) WZNW theorygauge invariant Hamiltonian reductionquantum deformations

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Poisson algebras (17B63)

Related Items

Schwinger-Dyson approach to Liouville field theory, Correlation functions and vertex operators of Liouville theory, 4d Chern-Simons theory as a 3d Toda theory, and a 3d-2d correspondence, Causal Poisson brackets of the \(SL(2,\mathbb{R})\) WZNW model and its coset theories, On the \(S\)-matrix of Liouville theory

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