$R$-matrices for the $n=2,3$ Elliptic Calogero-Moser Models
High Energy Physics - Theory
2009-10-22 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
The classical (dynamical) -matrices for the 2- and 3-body Calogero-Moser models with elliptic potentials are given. The 3-body case has an interesting nontrivial structure that goes beyond the known ansatz for momentum independent -matrices. The -matrices presented include the dynamical -matrices of Avan and Talon as degenerate cases of the elliptic potential.
Cite
@article{arxiv.hep-th/9312031,
title = {$R$-matrices for the $n=2,3$ Elliptic Calogero-Moser Models},
author = {H. W. Braden and Takashi Suzuki},
journal= {arXiv preprint arXiv:hep-th/9312031},
year = {2009}
}