论文标题
两体calogero-moser模型的现场理论概括以Landau-Lifshitz方程的形式进行
Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations
论文作者
论文摘要
我们为经典IRF-Vertex关系的连续版本提供了详细的描述，在IRF方面，我们处理Calogero-Moser-Sutherland模型。我们的研究基于构建椭圆曲线上无限等级的希格斯束的修改及其退化。通过这种方式描述了L-A对之间的先前预测的量规等值，并描述了Calogero-Moser-Sutherland模型的1+1场理论概括。在本文中，研究了$ {\ rm sl} _2 $ case。变量的显式变化是在有理，三角学模型和椭圆模型之间获得的。
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.
