ZhETF, Vol. 168,
No. 4,
p. 476 (October 2025)
(English translation - JETP,
Vol. 141, No. 4,
October 2025
available online at www.springer.com
)
Field Generalization of Elliptic Calogero-Moser System in the Form of Higher Rank Landau-Lifshitz Model
Atalikov K., Zotov A.
Received: June 3, 2025
DOI: 10.31857/S0044451025100037
We prove gauge equivalence between integrable field generalization of the elliptic Calogero-Moser model and the higher rank XYZ Landau-Lifshitz model of vector type on 1+1 dimensional space-time. Explicit formulae for the change of variables are derived, thus providing the Poisson map between these models.
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