Generalized Calogero models through reductions by discrete symmetries

1998/10/26 by Alexios P. Polychronakos · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #cond-mat #hep-th #math-ph #math.MP #nlin.SI #solv-int

paper · pdf · doi:10.1016/s0550-3213(98)00862-1

published as Nucl.Phys. B543 (1999) 485-498 · 14 pages, LaTeX, no figures

arxiv created 1998/10/26 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials
• Interacting Fermion Systems from Two Dimensional QCD

Cited by

• On the Sutherland Spin Model of B N Type and Its Associated Spin Chain
• A N -Type Dunkl Operators and New Spin Calogero-Sutherland Models
• Sutherland models for complex reflection groups