Gauge equivalence between 1+1 rational Calogero-Moser field theory and higher rank Landau-Lifshitz equation

Autor:	Atalikov, K., Zotov, A.
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Jetp Lett. 117, 630-634 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1134/S0021364023600714
Popis:	In this paper we study 1+1 field generalization of the rational $N$-body Calogero-Moser model. We show that this model is gauge equivalent to some special higher rank matrix Landau-Lifshitz equation. The latter equation is described in terms of ${\rm GL}_N$ rational $R$-matrix, which turns into the 11-vertex $R$-matrix in the $N=2$ case. The rational $R$-matrix satisfies the associative Yang-Baxter equation, which underlies construction of the Lax pair for the Zakharov-Shabat equation. The field analogue of the IRF-Vertex transformation is proposed. It allows to compute explicit change of variables between the field Calogero-Moser model and the Landau-Lifshitz equation. Comment: 7 pages, minor corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.08020 Zobrazit plný text záznamu Plný text ve formátu PDF