Generalized Calogero models through reductions by discrete symmetries

Abstract

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.

14 pages, LaTeX, no figures

References in corpus (1)

• Novel integrable spin-particle models from gauge theories on a cylinder

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