$R$-matrices for Elliptic Calogero-Moser Models

Details $R$-matrices for Elliptic Calogero-Moser Models $R$-matrices for Elliptic Calogero-Moser Models

1993-09-06

arxiv.org/abs/hep-th/9309033v3

Lett.Math.Phys.30:147-158,1994

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. Updated to agree with published version

Scientific paper

10.1007/BF00939702

The classical $R$-matrix structure for the $n$-particle Calogero-Moser models with (type IV) elliptic potentials is investigated. We show there is no momentum independent $R$-matrix (without spectral parameter) when $n\ge4$. The assumption of momentum independence is sufficient to reproduce the dynamical $R$-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 $R$-matrices for the general elliptic potential.

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