Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations

Autor:	Atalikov, K., Zotov, A.
Rok vydání:	2020
Předmět:	High Energy Physics - Theory Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	J. Geom. Phys., 164 (2021) 104161
Druh dokumentu:	Working Paper
DOI:	10.1016/j.geomphys.2021.104161
Popis:	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 based on constructing modifications of the Higgs bundles of infinite rank over elliptic curve and its degenerations. In this way the previously predicted gauge equivalence between L-A pairs of the Landau-Lifshitz type equations and 1+1 field theory generalization of the Calogero-Moser-Sutherland models is described. In this paper the ${\rm sl}_2$ case is studied. Explicit changes of variables are obtained between the rational, trigonometric and elliptic models. Comment: 18 pages, minor changes
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.14297 Zobrazit plný text záznamu View this record from Arxiv