Geometry ofW-algebras from the affine Lie algebra point of view

DOI10.1088/0305-4470/34/23/303zbMath0984.81161arXivhep-th/0012190OpenAlexW2033998306WikidataQ115293405 ScholiaQ115293405MaRDI QIDQ2755760

Daniel Nogradi, Zoltan Bajnok

Publication date: 12 November 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0012190

zbMATH Keywords

coadjoint orbitVirasoro algebrasymplectic leavesZamolodchikov algebraToda modelsnonlinear Poisson brackethighest-weight (HW) statesnonlinear \(W\)-symmetryWess-Zumino-Novikov-Witten (WZNW) model

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70) Geometry and quantization, symplectic methods (81S10)

Related Items (4)

Rotating higher spin partition functions and extended BMS symmetries ⋮ Towards a bulk description of higher spin SYK ⋮ Asymptotic dynamics of three dimensional supergravity and higher spin gravity revisited ⋮ Quantizing higher-spin gravity in free-field variables

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