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Dynamical $r$-matrices for the Elliptic Calogero-Moser Model

E. K. Sklyanin
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Abstract

For the integrable $N$-particle Calogero-Moser system with elliptic potential it is shown that the Lax operator found by Krichever possesses a classical $r$-matrix structure. The $r$-matrix is a natural generalisation of the matrix found recently by Avan and Talon (hep-th/9210128) for the trigonometric potential. The $r$-matrix depends on the spectral parameter and only half of the dynamical variables (particles' coordinates). It satisfies a generalized Yang-Baxter equation involving another dynamical matrix.

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E. K. Sklyanin. 1993-08-12. Dynamical $r$-matrices for the Elliptic Calogero-Moser Model. https://arxiv.org/abs/hep-th/9308060

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