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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…
math-ph2023★ 3 cited
Higher rank generalization of 11-vertex rational R-matrix: IRF-Vertex relations and associative Yang-Baxter equation
K. Atalikov, A. Zotov
We study rational -matrix, which turns into the 11-vertex -matrix in the case. First, we describe its relations to dynamical and semi-dynamical -matrice…
math-ph2022★ 15 cited
Higher rank 1+1 integrable Landau-Lifshitz field theories from associative Yang-Baxter equation
K. Atalikov, A. Zotov
We propose a construction of 1+1 integrable Heisenberg-Landau-Lifshitz type equations in the case. The dynamical variables are matrix elements of matrix $S…