Elsevier

Nuclear Physics B

Volume 957, August 2020, 115101
Nuclear Physics B

Symmetric separation of variables for trigonometric integrable models

https://doi.org/10.1016/j.nuclphysb.2020.115101Get rights and content
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Abstract

We study a problem of variable separation for the classical integrable hamiltonian systems possessing Lax matrices satisfying linear r-matrix algebra with skew-symmetric sl(2)sl(2)-valued trigonometric r-matrix. For all such the systems we produce new symmetric variables of separation. We show that the corresponding curve of separation differs from the spectral curve of the initial Lax matrix. The example of trigonometric Clebsch model is considered in details.

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