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arXiv · hep-th/9309033

$R$-matrices for Elliptic Calogero-Moser Models

H. W. Braden·Takashi Suzuki
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Abstract

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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H. W. Braden, Takashi Suzuki. 1993-12-03. $R$-matrices for Elliptic Calogero-Moser Models. https://doi.org/10.1007/bf00939702

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