New \(\mathcal W_{q,p}(\text{sl}(2))\) algebras from the elliptic algebra \(\mathcal A_{q,p}(\widehat{\text{sl}}(2)_c)\)

DOI10.1016/S0375-9601(97)00940-7zbMath1024.17006arXivq-alg/9706013OpenAlexW1583996315MaRDI QIDQ1966582

Marco Rossi, Jean Avan, Luc Frappat, Paul Sorba

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9706013

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) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (4)

DEFORMED DOUBLE YANGIAN STRUCTURES ⋮ Deformed Virasoro algebras from elliptic quantum algebras ⋮ Central extensions of classical and quantum \(q\)-Virasoro algebras ⋮ Deformed Virasoro algebras and \({\mathcal W}\)-algebras from elliptic algebras

Cites Work

• Unnamed Item
• Central extensions of quantum current groups
• Algebra of screening operators for the deformed \(W_n\) algebra
• Free boson realization of \(U_ q(\widehat{sl_ N} )\)
• An elliptic quantum algebra for \(\widehat{\text{sl}}_ 2\)
• A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
• Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras
• Quantum \({\mathcal W}\)-algebras and elliptic algebras
• Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
• Poisson structures on the center of the elliptic algebra \(\mathcal A_{q,p}(\widehat{\text{sl}}(2)_c)\)
• Bosonization of vertex operators for the face model

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