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

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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.

About the authors

K. Atalikov

NRC «Kurchatov Institute»; Steklov Mathematical Institute of Russian Academy of Sciences

Author for correspondence.
Email: kantemir.atalikov@yandex.ru
Moscow, Russia; Moscow, Russia

A. Zotov

Steklov Mathematical Institute of Russian Academy of Sciences

Email: zotov@mi-ras.ru
Moscow, Russia

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