Gelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$

dc.creatorSedra, M. B.
dc.date2007-08-28
dc.date.accessioned2026-07-07T12:39:37Z
dc.date.available2026-07-07T12:39:37Z
dc.descriptionWe focus in this work to renew the interest in higher conformal spins symmetries and their relations to quantum field theories and integrable models. We consider the extension of the conformal Frappat et al. symmetries containing the Virasoro and the Antoniadis et al. algebras as particular cases describing geometrically special diffeomorphisms of the two dimensional torus $T^2$. We show in a consistent way, and explicitly, how one can extract these generalized symmetries from the Gelfand-Dickey algebra. The link with Liouville and Toda conformal field theories is established and various important properties are discussed.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0708.3792
dc.identifierhttp://arxiv.org/abs/0708.3792
dc.identifierInt.J.Mod.Phys.A23:5059-5080,2008
dc.identifierdoi:10.1142/S0217751X08041505
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219172
dc.subjectHigh Energy Physics - Theory
dc.titleGelfand-Dickey Algebra and Higher Spin Symmetries On $T^2=S^1\times S^1$
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