The Integrals of Motion for the Deformed Virasoro Algebra

Abstract

We explicitly construct two classes of infinitly many commutative operators in terms of the deformed Virasoro algebra. We call one of them local integrals and the other nonlocal one, since they can be regarded as elliptic deformations of the local and nonlocal integrals of motion obtained by V.Bazhanov, S.Lukyanov and Al.Zamolodchikov.

Dedicated to Professor Masaki Kashiwara on the occasion on the 60th birthday

References in corpus (1)

• Quantum Affine Algebras and Deformations of the Virasoro and W-algebras

Cited by in corpus (8)

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• Form factors in sinh- and sine-Gordon models, deformed Virasoro algebra, Macdonald polynomials and resonance identities
• Non-Stationary Ruijsenaars Functions for $\kappa =t^{-1/N}$ and Intertwining Operators of Ding-Iohara-Miki Algebra
• Quantum deformation of Feigin-Semikhatov's W-algebras and 5d AGT correspondence with a simple surface operator
• Lattice models, deformed Virasoro algebra and reduction equation