The Moyal Momentum algebra applied to (theta)-deformed 2d conformal models and KdV-hierarchies

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dc.creatorBoulahoual, A.
dc.creatorSedra, M. B.
dc.date2002-08-27
dc.date.accessioned2026-07-07T06:23:44Z
dc.date.available2026-07-07T06:23:44Z
dc.descriptionThe properties of the Das-Popowicz Moyal momentum algebra that we introduce in hep-th/0207242 are reexamined in details and used to discuss some aspects of integrable models and 2d conformal field theories. Among the results presented, we setup some useful convention notations which lead to extract some non trivial properties of the Moyal momentum algebra. We use the particular sub-algebra sl(n)-{Sigma}_{n}^{(0,n)} to construct the sl(2)-Liouville conformal model and its sl(3)-Toda extension. We show also that the central charge, a la Feigin-Fuchs, associated to the spin-2 conformal current of the (theta)-Liouville model is given by c(theta)=1+24.theta^{2}. Moreover, the results obtained for the Das-Popowicz Mm algebra are applied to study systematically some properties of the Moyal KdV and Boussinesq hierarchies generalizing some known results. We discuss also the primarity condition of conformal $w_θ$-currents and interpret this condition as being a dressing gauge symmetry in the Moyal momentum space. Some computations related to the dressing gauge group are explicitly presented.
dc.description43 pages, Latex file, 1 figure
dc.identifierhttps://arxiv.org/abs/hep-th/0208200
dc.identifierhttp://arxiv.org/abs/hep-th/0208200
dc.identifierChin.J.Phys. 43 (2005) 408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96342
dc.subjectHigh Energy Physics - Theory
dc.titleThe Moyal Momentum algebra applied to (theta)-deformed 2d conformal models and KdV-hierarchies
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