Centrally Extended W_{1+\infty} and the KP Hierarchy

dc.creatorMartinez-Moras, Fernando
dc.creatorMas, Javier
dc.date1994-10-13
dc.date1994-10-20
dc.date.accessioned2026-07-07T11:14:46Z
dc.date.available2026-07-07T11:14:46Z
dc.descriptionIt is well known that the centerless W_{1+\infty} algebra provides a hamiltonian structure for the KP hierarchy. In this letter we address the question whether the centerful version plays a similar rôle in any related integrable system. We find that, surprisingly enough, the centrally extended W_{1+\infty} algebra yields yet another Poisson structure for the same standard KP hierarchy. This is proven by explicit construction of the infinitely many new hamiltonians in closed form.
dc.description10 pages, plain tex (all macros included), US-FT-17-94, (some AMS fonts have been skipped for easier TEXing)
dc.identifierhttps://arxiv.org/abs/hep-th/9410097
dc.identifierhttp://arxiv.org/abs/hep-th/9410097
dc.identifierPhys.Lett.B344:127-134,1995
dc.identifierdoi:10.1016/0370-2693(94)01518-H
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/192181
dc.subjectHigh Energy Physics - Theory
dc.titleCentrally Extended W_{1+\infty} and the KP Hierarchy
dc.typetext

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