Classical affine W-algebras associated to Lie superalgebras

DOI10.1063/1.4940879zbMath1345.81062arXiv1509.06101OpenAlexW2964261695WikidataQ110567591 ScholiaQ110567591MaRDI QIDQ2795526

Uhi Rinn Suh

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1509.06101

zbMATH Keywords

Lie superalgebrasBRST complexLie conformal algebrasPoisson vertex algebrasclassical affine W-algebrasclassical finite W-algebrasfractional W-(super) algebrasHamilton reductionsquantum affine W-algebrasquantum finite W-algebras

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) Vertex operators; vertex operator algebras and related structures (17B69) Quantization in field theory; cohomological methods (81T70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Superalgebras (17A70) Poisson algebras (17B63)

Related Items

Dirac reductions and classical W-algebras ⋮ Generators of supersymmetric classical \(W\)-algebras ⋮ Classical affine W-superalgebras via generalized Drinfeld-Sokolov reductions and related integrable systems ⋮ Structures of (supersymmetric) classical W-algebras ⋮ Minimal \(W\)-superalgebras and the modular representations of basic Lie superalgebras

Cites Work

• Structure of classical (finite and affine) \(\mathcal W\)-algebras
• On Kostant's theorem for the Lie superalgebra \(Q(n)\)
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• Quantization of the Drinfel'd-Sokolov reduction.
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• Finite vs affine \(W\)-algebras
• Lie algebras and equations of Korteweg-de Vries type
• Generalized Drinfel'd-Sokolov hierarchies
• Quantum reduction for affine superalgebras
• Freely generated vertex algebras and nonlinear Lie conformal algebras
• Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures
• Special transverse slices and their enveloping algebras
• On finite \(W\)-algebras for Lie algebras and superalgebras
• Finite \(W\)-superalgebras for queer Lie superalgebras
• Field Algebras
• Modular invariance of characters of vertex operator algebras
• Structure of classical affine and classical affine fractional W-algebras
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