Integrable Lax Hierarchies, their Symmetry Reductions and Multi-Matrix Models

Simple item page
dc.creatorAratyn, H.
dc.date1995-03-29
dc.date1995-09-15
dc.date.accessioned2026-07-07T09:03:56Z
dc.date.available2026-07-07T09:03:56Z
dc.descriptionSome new developments in constrained Lax integrable systems and their applications to physics are reviewed. After summarizing the tau function construction of the KP hierarchy and the basic concepts of the symmetry of nonlinear equations, more recent ideas dealing with constrained KP models are described. A unifying approach to constrained KP hierarchy based on graded $SL(r+n,n)$ algebra is presented and equivalence formulas are obtained for various pseudo-differential Lax operators appearing in this context. It is then shown how the Toda lattice structure emerges from constrained KP models via canonical Darboux-Bäcklund transformations. These transformations enable us to find simple Wronskian solutions for the underlying tau-functions. We also establish a relation between two-matrix models and constrained Toda lattice systems and derive from this relation expressions for the corresponding partition function.
dc.description52 pages, LaTeX. Lectures presented at the VIII J.A. Swieca Summer School, Section: Particles and Fields, Rio de Janeiro - Brasil - February/95. Corrected version
dc.identifierhttps://arxiv.org/abs/hep-th/9503211
dc.identifierhttp://arxiv.org/abs/hep-th/9503211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149198
dc.subjectHigh Energy Physics - Theory
dc.titleIntegrable Lax Hierarchies, their Symmetry Reductions and Multi-Matrix Models
dc.typetext

Files

Collections

arXiv