Generalized Calogero models through reductions by discrete symmetries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, LaTeX, no figures

Scientific paper

10.1016/S0550-3213(98)00862-1

We construct generalizations of the Calogero-Sutherland-Moser system by appropriately reducing a classical Calogero model by a subset of its discrete symmetries. Such reductions reproduce all known variants of these systems, including some recently obtained generalizations of the spin-Sutherland model, and lead to further generalizations of the elliptic model involving spins with SU(n) non-invariant couplings.

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