Generalized Calogero-Sutherland systems from many-matrix models
arXiv:hep-th/9806189 · doi:10.1016/S0550-3213(99)00112-1
Abstract
We construct generalizations of the Calogero-Sutherland-Moser system by appropriately reducing a model involving many unitary matrices. The resulting systems consist of particles on the circle with internal degrees of freedom, coupled through modifications of the inverse-square potential. The coupling involves SU(M) non-invariant (anti)ferromagnetic interactions of the internal degrees of freedom. The systems are shown to be integrable and the spectrum and wavefunctions of the quantum version are derived.
8 pages, LaTeX, no figures
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