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 ${\mathrm{sl}}_2$ case is studied. Explicit changes of variables are obtained between the rational, trigonometric and elliptic models.

中文翻译：

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两体Calogero-Moser模型以Landau-Lifshitz方程的形式进行的场论概括

我们对经典IRF-顶点关系的连续版本进行详细描述，其中在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级希格斯束的变体及其退化。这样，先前预测的Landau–Lifshitz型方程的LA对和$\mathrm{1个}+\mathrm{1个}$描述了Calogero-Moser-Sutherland模型的现场理论推广。在本文中${\mathrm{sl}}_2$案例研究。在有理，三角和椭圆模型之间获得变量的显式变化。