REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KDV HIERARCHIES AND THE 2-MATRIX MODEL
dc.contributor.author | Aratyn, H. | |
dc.contributor.author | Nissimov, E. | |
dc.contributor.author | Pacheva, S. | |
dc.contributor.author | Zimerman, A. H. | |
dc.contributor.institution | BEN GURION UNIV NEGEV | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2014-05-20T15:21:13Z | |
dc.date.available | 2014-05-20T15:21:13Z | |
dc.date.issued | 1995-07-10 | |
dc.description.abstract | Toda 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.affiliation | BEN GURION UNIV NEGEV,DEPT PHYS,IL-84105 BEER SHEVA,ISRAEL | |
dc.description.affiliation | UNESP,INST FIS TEOR,BR-01405900 SAO PAULO,BRAZIL | |
dc.description.affiliationUnesp | UNESP,INST FIS TEOR,BR-01405900 SAO PAULO,BRAZIL | |
dc.format.extent | 2537-2577 | |
dc.identifier | http://dx.doi.org/10.1142/S0217751X95001212 | |
dc.identifier.citation | International Journal of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 10, n. 17, p. 2537-2577, 1995. | |
dc.identifier.doi | 10.1142/S0217751X95001212 | |
dc.identifier.issn | 0217-751X | |
dc.identifier.lattes | 8215976645016606 | |
dc.identifier.uri | http://hdl.handle.net/11449/32386 | |
dc.identifier.wos | WOS:A1995RH71400005 | |
dc.language.iso | eng | |
dc.publisher | World Scientific Publ Co Pte Ltd | |
dc.relation.ispartof | International Journal of Modern Physics A | |
dc.relation.ispartofjcr | 1.291 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Web of Science | |
dc.title | REDUCTION OF TODA LATTICE HIERARCHY TO GENERALIZED KDV HIERARCHIES AND THE 2-MATRIX MODEL | en |
dc.type | Artigo | |
dcterms.license | http://www.worldscientific.com/page/authors/author-rights | |
dcterms.rightsHolder | World Scientific Publ Co Pte Ltd | |
unesp.author.lattes | 8215976645016606[4] | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulo | pt |
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