We systematically study the interesting relations between the quantum elliptic Calogero-Moser system (eCM) and its generalization, and their corresponding supersymmetric gauge theories. In particular, we construct the suitable characteristic polynomial for the eCM system by considering certain orbifolded instanton partition function of the corresponding gauge theory. This is equivalent to the introduction of certain co-dimension two defects. We next generalize our construction to the folded instanton partition function obtained through the so-called “gauge origami” construction and precisely obtain the corresponding characteristic polynomial for the doubled version, named the elliptic double Calogero-Moser (edCM) system.

中文翻译：

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来自规范折纸的量子椭圆 Calogero-Moser 系统

我们系统地研究了量子椭圆 Calogero-Moser 系统 (eCM) 及其推广之间的有趣关系，以及它们相应的超对称规范理论。特别是，我们通过考虑相应规范理论的某些 orbifolded 瞬时子配分函数来构造适合 eCM 系统的特征多项式。这相当于引入了某些合维二缺陷。我们接下来将我们的构造推广到通过所谓的“规范折纸”构造获得的折叠瞬时子分配函数，并精确地获得加倍版本的相应特征多项式，称为椭圆双 Calogero-Moser (edCM) 系统。