Lattice \(W\) algebras and quantum groups

DOI10.1007/BF01017329zbMath0852.17024arXivhep-th/9307127MaRDI QIDQ1920481

Yaroslav Pugai

Publication date: 12 August 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9307127

zbMATH Keywords

difference equationslattice Virasoro algebraquantum affine groupFeigin's constructionlattice \(W_ 3\) algebraslattice \(W\) algebraslattice integrals of motionVolkov's scheme

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) Virasoro and related algebras (17B68) 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)

Related Items (1)

Lattice conformal theories and their integrable perturbations

Cites Work

• Hidden SL(n) symmetry in conformal field theories
• Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves
• Quantum group structure in the Fock space resolutions of ŝl(n) representations
• Infinite conformal symmetry in two-dimensional quantum field theory
• Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
• VERTEX OPERATORS AND REPRESENTATIONS OF QUANTUM UNIVERSAL ENVELOPING ALGEBRAS
• POISSON–LIE GROUPS AND CLASSICAL W-ALGEBRAS

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