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arXiv · hep-th/9806189

Generalized Calogero-Sutherland systems from many-matrix models

Alexios P. Polychronakos
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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.

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Alexios P. Polychronakos. 1998-06-23. Generalized Calogero-Sutherland systems from many-matrix models. https://doi.org/10.1016/s0550-3213(99)00112-1

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