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Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model (2506.00938v1)
Published 1 Jun 2025 in math-ph, hep-th, math.MP, and nlin.SI
Abstract: 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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