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$R$-matrices for Elliptic Calogero-Moser Models | H. W. Braden
; Takashi Suzuki
; | Date: |
6 Sep 1993 | Journal: | Lett.Math.Phys. 30 (1994) 147-158 | Subject: | High Energy Physics - Theory; Exactly Solvable and Integrable Systems | hep-th nlin.SI solv-int | 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 $nge4$. 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. | Source: | arXiv, hep-th/9309033 | Services: | Forum | Review | PDF | Favorites |
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