Fermionic construction of the partition function for multimatrix models and the multicomponent Toda lattice hierarchy

DOI10.1007/s11232-007-0094-0zbMath1128.37041arXiv0704.1145OpenAlexW3098779129MaRDI QIDQ2461089

J. Harnad, Alexander Yu. Orlov

Publication date: 21 November 2007

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1145

zbMATH Keywords

matrix modelfermionic representationintegrable systemtau function of multicomponent Toda chain

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lattice dynamics; integrable lattice equations (37K60)

Related Items (5)

Boson–Fermion correspondence of the multi-component constrained mKP hierarchy ⋮ Equivalent forms of multi component Toda hierarchies ⋮ Reprint of: Equivalent forms of multi component Toda hierarchies ⋮ Symmetric polynomials, generalized Jacobi-Trudi identities and τ-functions ⋮ Fermionic approach for evaluating integrals of rational symmetric functions

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