The integrals of motion for the elliptic deformation of the Virasoro and algebra

DOI10.1016/J.NA.2009.02.081zbMath1238.17017arXiv0902.1019OpenAlexW2962717944MaRDI QIDQ424373

Jun'ichi Shiraishi, Takeo Kojima

Publication date: 31 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.1019

zbMATH Keywords

conformal field theoryquantum groupVirasoro algebra\(W\)-algebraelliptic quantum groupdeformed \(W\)-algebraexactly solved 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)

Cites Work

• Unnamed Item
• The integrals of motion for the deformed \(W\)-algebra \(W_{q,t}(\widehat{gl_N})\). II: Proof of the commutation relations
• Algebra of screening operators for the deformed \(W_n\) algebra
• Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
• Integrable structure of conformal field theory. III: The Yang-Baxter relation
• The elliptic algebra \(U_{q,p}(\widehat{\mathfrak{sl}}_N)\) and the Drinfeld realization of the elliptic quantum group \(\mathcal B_{q,\lambda}(\widehat{\mathfrak{sl}}_N)\).
• Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
• Integral representations of the Macdonald symmetric polynomials
• Quantum \({\mathcal W}\)-algebras and elliptic algebras
• Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
• Baxter'sQ-operator for theW-algebraW_N
• Bosonization of vertex operators for the face model
• COMMENTS ON THE DEFORMED W_N ALGEBRA
• Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory

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