二维规范动力学与奇异行列式簇的拓扑
Two-dimensional gauge dynamics and the topology of singular determinantal varieties
摘要：
我们记录了两类规范线性西格玛模型中Witten指数的观测结果：格拉斯曼线性截面的U（2）模型和二次完全相交的U（1）模型。我们描述了威滕指数是如何与欧拉特性的奇异反对称或对称行列式品种的特点，在分析其相反的阶段，我们讨论了在何种程度上这些关系可以与标准的玻恩-奥本海默参数调和。
英文摘要：
We record an observation about the Witten indices in two families of gauged linear sigma models: the U(2) model for linear sections of Grassmannians, and the U(1) model for quadric complete intersections. We describe how the Witten indices are related to the Euler characteristics of the singular skew-symmetric or symmetric determinantal varieties featuring in the analysis of their opposite phases, and we discuss the extent to which these relationships can be reconciled with standard Born-Oppenheimer arguments.
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