1995/12/31 by Jean Avan, Antal Jevicki · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Applied mathematics #Eigenvalues and eigenvectors #Field (mathematics) #Invariant (physics) #Jacobian matrix and determinant #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quadratic equation #Quantum mechanics #Scalar (mathematics) #Vector field #hep-th
paper · pdf · doi:10.1016/0550-3213(96)00147-2
published as Nucl.Phys. B469 (1996) 287-301 · OLatex file, 20 pages, no figures. Misprints corrected, references added; reformulation of the constraint algebra and additional Comments on its structure; additional Comments on the structure of the continuum limit; Nuclear Physics B, to appear
arxiv created 1996/03/19 · openalex publication_date 1996/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct collective field theories associated with one-matrix plus r vector models. Such field theories describe the continuum limit of spin Calogero Moser models. The invariant collective fields consist of a scalar density coupled to a set of fields in the adjoint representation of U(r). Hermiticity conditions for the general quadratic Hamiltonians lead to a new type of extended non-linear algebra of differential operators acting on the Jacobian. It includes both Virasoro and SU(r) (included in sl(r, \bf C) × sl(r, \bf C)) current algebras. A systematic construction of exact eigenstates for the coupled field theory is given and exemplified.