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

JOURNAL OF GEOMETRY AND PHYSICS

卷:164

Article

Atalikov, K.¹  Zotov, A.^1,2,3 

[1] Kurchatov Inst, Inst Theoret & Expt Phys NRC, B Cheremushkinskaya 25, Moscow 117218, Russia

[2] Russian Acad Sci, Steklov Math Inst, Gubkina Str 8, Moscow 119991, Russia

[3] Natl Res Univ Higher Sch Econ, Moscow, Russia

关键词: Integrable systems;    Calogero-Moser model;    Landau-Lifshitz equation;    Soliton equation;    IRF-Vertex relation;   

DOI  :  10.1016/j.geomphys.2021.104161

来源: Elsevier

【 摘 要 】

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 sl(2) case is studied. Explicit changes of variables are obtained between the rational, trigonometric and elliptic models. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

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