Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians
Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians
复制标题
仿射格拉斯曼切片和截断移位杨量的哈密顿量约简
DOI：
10.1016/j.aim.2022.108281
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发表时间：
2020
影响因子：
1.7
通讯作者：
Alex Weekes
中科院分区：
文献类型：
--
作者：
J. Kamnitzer;Khoa Pham;Alex Weekes
广义仿射Grassman切片为半单李代数表示的权空间提供了几何实现。它们也是库仑枝、辛对偶到中岛箭图的品种。本文证明了相邻的广义仿射Grassman切片在加法群作用下的哈密顿约化是相关的。对于它们的量子化，我们还证明了相同结果的一个较弱的版本，即称为截断移位Ygians的代数。
Generalized affine Grassmannian slices provide geometric realizations for weight spaces of representations of semisimple Lie algebras. They are also Coulomb branches, symplectic dual to Nakajima quiver varieties. In this paper, we prove that neighboring generalized affine Grassmannian slices are related by Hamiltonian reduction by the action of the additive group. We also prove a weaker version of the same result for their quantizations, algebras known as truncated shifted Yangians.