Algebra of Deformed Differential Operators and Induced Integrable Toda Field Theory

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dc.creatorBenkaddour, I.
dc.creatorHssaini, M.
dc.creatorKessabi, M.
dc.creatorMaroufi, B.
dc.creatorSedra, M. B.
dc.date2000-08-14
dc.date2003-08-07
dc.date.accessioned2026-07-07T04:10:21Z
dc.date.available2026-07-07T04:10:21Z
dc.descriptionWe build in this paper the algebra of q-deformed pseudo-differential operators shown to be an essential step towards setting a q-deformed integrability program. In fact, using the results of this q-deformed algebra, we derive the q-analogues of the generalized KdV hierarchy. We focus in particular on the first leading orders of this q-deformed hierarchy namely the q-KdV and q-Boussinesq integrable systems. We present also the q-generalization of the conformal transformations of the currents and discuss the primarity condition of the fields by using the Volterra gauge group transformations for the q-covariant Lax operators. An induced su(n)-Toda(su(2)-Liouville) field theory construction is discussed and other important features are presented.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0008113
dc.identifierhttp://arxiv.org/abs/hep-th/0008113
dc.identifierInternational Journal of Theoretical Physics, Vol. 41, No.12, December 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50183
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleAlgebra of Deformed Differential Operators and Induced Integrable Toda Field Theory
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