The integrals of motion for the elliptic deformation of the Virasoro and algebra
type: Item
instance of: scholarly article
title: The integrals of motion for the elliptic deformation of the Virasoro and algebra
zbMATH Open document ID: 1238.17017
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-05-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/0902.1019
Mathematics Subject Classification ID: 17B68
Mathematics Subject Classification ID: 81R10
zbMATH DE Number: 6040127
zbMATH Keywords: exactly solved model
zbMATH Keywords: Virasoro algebra
zbMATH Keywords: \(W\)-algebra
zbMATH Keywords: quantum group
zbMATH Keywords: conformal field theory
zbMATH Keywords: elliptic quantum group
zbMATH Keywords: deformed \(W\)-algebra
author: Takeo Kojima
author: Jun'ichi Shiraishi
MaRDI profile type: Publication
OpenAlex ID: W2962717944
arXiv ID: 0902.1019
cites work: Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
cites work: Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
cites work: Integrable structure of conformal field theory. III: The Yang-Baxter relation
cites work: Integrable structure of \(W_3\) conformal field theory, quantum Boussinesq theory and boundary affine Toda theory
cites work: Baxter'sQ-operator for theW-algebraWN
cites work: Q4350883
cites work: Integral representations of the Macdonald symmetric polynomials
cites work: Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
cites work: COMMENTS ON THE DEFORMED WN ALGEBRA
cites work: Quantum \({\mathcal W}\)-algebras and elliptic algebras
cites work: The integrals of motion for the deformed \(W\)-algebra \(W_{q,t}(\widehat{gl_N})\). II: Proof of the commutation relations
cites work: Bosonization of vertex operators for the face model
cites work: Algebra of screening operators for the deformed \(W_n\) algebra
cites work: The elliptic algebra \(U_{q,p}(\widehat{\mathfrak{sl}}_N)\) and the Drinfeld realization of the elliptic quantum group \(\mathcal B_{q,\lambda}(\widehat{\mathfrak{sl}}_N)\).
DOI: 10.1016/J.NA.2009.02.081
description: scientific article; zbMATH DE number 6040127