Quadratic relations of the deformed W-superalgebra Wq,t(sl(2|1))

DOI10.1063/1.5142516zbMath1465.81052arXiv1912.03096OpenAlexW2992247991MaRDI QIDQ4991002

Takeo Kojima

Publication date: 2 June 2021

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

Full work available at URL: https://arxiv.org/abs/1912.03096

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) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (5)

5d AGT correspondence of supergroup gauge theories from quantum toroidal \(\mathfrak{gl}_1\) ⋮ Quadratic relations of the deformed \(W\)-algebra for the twisted affine Lie algebra of type \(A_{2N}^{(2)}\) ⋮ A note on quiver quantum toroidal algebra ⋮ Shifted quiver quantum toroidal algebra and subcrystal representations ⋮ Quadratic relations of the deformed W-superalgebra Wq,tA(M,N)

Cites Work

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• Drinfeld-Sokolov reduction for difference operators and deformations of \({\mathcal W}\)-algebras. I: The case of Virasoro algebra
• Drinfeld-Sokolov reduction for difference operators and deformations of \(W\)-algebras. II: The general semisimple case
• Deformations of \(W\)-algebras associated to simple Lie algebras
• Drinfeld-Sokolov reduction for quantum groups and deformations of \(W\)-algebras
• 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
• Free field approach to the dilute AL models
• COMMENTS ON THE DEFORMED W_N ALGEBRA
• Angular quantization and form factors in massive integrable models

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