Collective field theory of the matrixvector models
Abstract
We construct collective field theories associated with onematrix plus r vector models. Such field theories describe the continuum limit of spin CalogeroMoser 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 nonlinear algebra of differential operators acting on the Jacobian. It includes both Virasoro and SU( r) (included in sl(r, C) × sl(r, C)) current algebras. A systematic construction of exact eigenstates for the coupled field theory is given and exemplified.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)001472
 arXiv:
 arXiv:hepth/9512147
 Bibcode:
 1996NuPhB.469..287A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 OLatex file, 20 pages, no figures. Misprints corrected, references added