Spin Calogero-Moser systems for the cyclic quiver
Spin Calogero-Moser systems for the cyclic quiver
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用于循环箭袋的 Spin Calogero-Moser 系统
DOI：
10.1088/1742-6596/965/1/012038
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Silantyev A
中科院分区：
文献类型：
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作者：
Silantyev A
在循环箭袋的情况下，考虑了在箭袋品种上构建经典可积系统的方法。对于两种类型的框架，我们获得了与复反射群 S n⋉(Bbb Z/m Bbb Z) n 相关的 Calogero-Moser 系统的可积自旋推广。该方法以显式形式给出系统的 Lax 矩阵。在某些特定情况下，系统的第一个哈密顿量被明确地写出。该论文基于作者与 Oleg Chalykh（利兹大学）的合作成果。
The method of construction of classical integrable systems on quiver varieties is considered in the case of cyclic quiver. For two types of framing we obtained integrable spin generalisations of the Calogero–Moser systems associated with the complex reflection groups S n⋉(Bbb Z/m Bbb Z) n. This method gives Lax matrices of the systems in explicit form. In some particular cases the first Hamiltonians of the system are written explicitly. The paper is based on the work of the author with Oleg Chalykh (the University of Leeds).