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

2009/02/06 by T. Kojima, Takeo Kojima, Kojima, T. +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.0902.1019

Proceedings for 5-th World Congress for Nonlinear Analysts 2008, Florida, USA

arxiv created 2009/02/06 · openalex publication_date 2009/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review the free field realization of the deformed Virasoro algebra Vir_q,t and the deformed W algebra W_q,t(gl_N). We explicitly construct two classes of infinitly many commutative operators \cal I_m, \cal G_m, (m ∈ \mathbb N), in terms of these algebras. They can be regarded as the elliptic deformation of the local and nonlocal integrals of motion for the conformal field theory.

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