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FIELD GENERALIZATION OF ELLIPTIC CALOGERO – MOSER SYSTEM IN THE FORM OF HIGHER RANK LANDAU – LIFSHITZ MODEL

Issue number 4 from 15.10.2025

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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