3 papers
math-ph2025
Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model
K. Atalikov, A. Zotov
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 dimensio…
hep-th2024
Gauge equivalence of 1+1 Calogero-Moser-Sutherland field theory and higher rank trigonometric Landau-Lifshitz model
K. Atalikov, A. Zotov
We consider the classical integrable 1+1 trigonometric Landau-Lifshitz models constructed by means of quantum -matrices satisfying also the associative Yang-Baxter…
hep-th2020
Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations
K. Atalikov, A. Zotov
We give detailed description for continuous version of the classical IRF-Vertex relation, where on the IRF side we deal with the Calogero-Moser-Sutherland models. Our study is base…