English

Observable algebra for the rational and trigonometric Euler Calogero Moser models

High Energy Physics - Theory 2009-10-28 v2

Abstract

We construct polynomial Poisson algebras of observables for the classical Euler-Calogero-Moser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous work are subsets of these algebras. We define their linear, NN \rightarrow \infty limits, realizing \w\w_{\infty} type algebras coupled to current algebras.

Keywords

Cite

@article{arxiv.hep-th/9404040,
  title  = {Observable algebra for the rational and trigonometric Euler Calogero Moser models},
  author = {J. Avan and E. Billey},
  journal= {arXiv preprint arXiv:hep-th/9404040},
  year   = {2009}
}

Comments

11 pages; Latex; PAR LPTHE 94-16 Misprints and minor mistakes corrected; references updated

R2 v1 2026-07-22T15:49:34.580Z