Generalized Calogero models through reductions by discrete symmetries
High Energy Physics - Theory
2009-10-31 v1 Condensed Matter
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
solv-int
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.
Keywords
Cite
@article{arxiv.hep-th/9810211,
title = {Generalized Calogero models through reductions by discrete symmetries},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/9810211},
year = {2009}
}
Comments
14 pages, LaTeX, no figures