标题： 从克莱因分支中得到的$\mathcal{S}$理论的缺陷群 显示英文标题

标题： Defect groups of class $\mathcal{S}$ theories from the Coulomb branch

摘要： 我们通过从Coulomb分支数据中推导出缺陷群（线性算子的电荷，局部算子的屏蔽除外），研究了类$\mathcal{S}[A_{N-1}]$4d$\mathcal{N} = 2$理论的全局形式。 具体来说，我们采用全正则刺点情况下的BPS箭头图的显式构造，以表明缺陷群为$(\mathbb{Z}_N)^{2g}$，其中$g$是相关黎曼曲面的亏格。 这确定了5d对称性TFT中的表面算子的一个区域。 我们展示了如何也可以通过M理论的维度约化来识别这些内容。 显示英文摘要

摘要： We study the global forms of class $\mathcal{S}[A_{N-1}]$ 4d $\mathcal{N} = 2$ theories by deriving their defect groups (charges of line operators up to screening by local operators) from Coulomb branch data. Specifically, we employ an explicit construction of the BPS quiver for the case of full regular punctures to show that the defect group is $(\mathbb{Z}_N)^{2g}$, where $g$ is the genus of the associated Riemann surface. This determines a sector of surface operators in the 5d symmetry TFT. We show how these can also be identified from dimensional reduction of M-theory.