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

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dc.creatorKojima, T.
dc.creatorShiraishi, J.
dc.date2009-02-06
dc.date.accessioned2026-07-07T12:38:52Z
dc.date.available2026-07-07T12:38:52Z
dc.descriptionWe review the free field realization of the deformed Virasoro algebra $Vir_{q,t}$ and the deformed $W$ algebra $W_{q,t}(\hat{gl_N})$. We explicitly construct two classes of infinitly many commutative operators ${\cal I}_m$, ${\cal G}_m$, $(m \in {\mathbb N})$, 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.
dc.descriptionProceedings for 5-th World Congress for Nonlinear Analysts 2008, Florida, USA
dc.identifierhttps://arxiv.org/abs/0902.1019
dc.identifierhttp://arxiv.org/abs/0902.1019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218916
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe integrals of motion for the elliptic deformation of the Virasoro and $W_N$ algebra
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