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REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KDV HIERARCHIES AND THE 2-MATRIX MODEL

dc.contributor.authorAratyn, H.
dc.contributor.authorNissimov, E.
dc.contributor.authorPacheva, S.
dc.contributor.authorZimerman, A. H.
dc.contributor.institutionBEN GURION UNIV NEGEV
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:21:13Z
dc.date.available2014-05-20T15:21:13Z
dc.date.issued1995-07-10
dc.description.abstractToda lattice hierarchy and the associated matrix formulation of the 2M-boson KP hierarchies provide a framework for the Drinfeld-Sokolov reduction scheme realized through Hamiltonian action within the second KP Poisson bracket. By working with free currents, which Abelianize the second KP Hamiltonian structure, we are able to obtain a unified formalism for the reduced SL(M + 1, M - k) KdV hierarchies interpolating between the ordinary KP and KdV hierarchies. The corresponding Lax operators are given as superdeterminants of graded SL(M + 1, M - k) matrices in the diagonal gauge and we describe their bracket structure and field content. In particular, we provide explicit free field representations of the associated W(M, M - k) Poisson bracket algebras generalising the familiar nonlinear W-M+1 algebra. Discrete Backlund transformations for SL(M + 1, M - k) KdV are generated naturally from lattice translations in the underlying Toda-like hierarchy. As an application we demonstrate the equivalence of the two-matrix string model to the SL(M + 1, 1) KdV hierarchy.en
dc.description.affiliationBEN GURION UNIV NEGEV,DEPT PHYS,IL-84105 BEER SHEVA,ISRAEL
dc.description.affiliationUNESP,INST FIS TEOR,BR-01405900 SAO PAULO,BRAZIL
dc.description.affiliationUnespUNESP,INST FIS TEOR,BR-01405900 SAO PAULO,BRAZIL
dc.format.extent2537-2577
dc.identifierhttp://dx.doi.org/10.1142/S0217751X95001212
dc.identifier.citationInternational Journal of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 10, n. 17, p. 2537-2577, 1995.
dc.identifier.doi10.1142/S0217751X95001212
dc.identifier.issn0217-751X
dc.identifier.lattes8215976645016606
dc.identifier.urihttp://hdl.handle.net/11449/32386
dc.identifier.wosWOS:A1995RH71400005
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Modern Physics A
dc.relation.ispartofjcr1.291
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleREDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KDV HIERARCHIES AND THE 2-MATRIX MODELen
dc.typeArtigo
dcterms.licensehttp://www.worldscientific.com/page/authors/author-rights
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
unesp.author.lattes8215976645016606[4]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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