An alternative approach to KP hierarchy in matrix models

DOI10.1016/0370-2693(92)91451-EzbMath0946.81518arXivhep-th/9204019WikidataQ64038599 ScholiaQ64038599MaRDI QIDQ1125629

S. H. Smith

Publication date: 13 December 1999

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9204019

zbMATH Keywords

string theoryintegrable hierarchytwo-matrix model with bilinear coupling

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Continuum limits in quantum field theory (81T27) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (12)

Remarks on dispersionless KP, KdV, and 2D gravity ⋮ The integrable hierarchy constructed from a pair of KdV-type hierarchies and its associated \(W\) algebra ⋮ Multi-field representations of the KP hierarchy and multi-matrix models ⋮ The GDTM-Padé technique for the nonlinear lattice equations ⋮ The (N,M)th Korteweg–de Vries hierarchy and the associated W-algebra ⋮ Classical extended conformal algebras associated with constrained KP hierarchy ⋮ On two-current realization of KP hierarchy ⋮ Multi-matrix models without continuum limit ⋮ Lattice analogue of the \(W_\infty\) algebra and discrete KP-hierarchy ⋮ Computation of Lie supersymmetries for the supersymmetric two bosons equations ⋮ Supersymmetric KP hierarchy in \(N=1\) superspace and its \(N=2\) reductions ⋮ Generalization of the algebra of the matrix pseudodifferential operators

Cites Work

• Strings in less than one dimension and the generalized KdV hierarchies
• Integrable discrete linear systems and one-matrix random models

This page was built for publication: An alternative approach to KP hierarchy in matrix models