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FIELD GENERALIZATION OF ELLIPTIC CALOGERO – MOSER SYSTEM IN THE FORM OF HIGHER RANK LANDAU – LIFSHITZ MODEL
- Authors: Atalikov K.1,2, Zotov A.2
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Affiliations:
- NRC «Kurchatov Institute»
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 168, No 4 (2025)
- Pages: 476-484
- Section: NUCLEI, PARTICLES, FIELDS, GRAVITY AND ASTROPHYSICS
- URL: https://journals.rcsi.science/0044-4510/article/view/317098
- DOI: https://doi.org/10.7868/S3034641X25100036
- ID: 317098
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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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