$R$-matrices for Elliptic Calogero-Moser Models
High Energy Physics - Theory
2011-07-19 v3 Exactly Solvable and Integrable Systems
solv-int
Abstract
The classical -matrix structure for the -particle Calogero-Moser models with (type IV) elliptic potentials is investigated. We show there is no momentum independent -matrix (without spectral parameter) when . The assumption of momentum independence is sufficient to reproduce the dynamical -matrices of Avan and Talon for the type I,II,III degenerations of the elliptic potential. The inclusion of a spectral parameter enables us to find -matrices for the general elliptic potential.
Keywords
Cite
@article{arxiv.hep-th/9309033,
title = {$R$-matrices for Elliptic Calogero-Moser Models},
author = {H. W. Braden and Takashi Suzuki},
journal= {arXiv preprint arXiv:hep-th/9309033},
year = {2011}
}
Comments
11 pages. Updated to agree with published version