标题： 从库仑支上得到的类$\mathcal{S}$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 支枝数据推导出缺陷群（线算符的电荷，局部算符筛选前）来研究类 $\mathcal{S}[A_{N-1}]$ 4维 $\mathcal{N} = 2$ 理论的整体形式。 具体来说，我们采用完全正则穿凿情形下 BPS quiver 的明确构造方法，证明了缺陷群为 $(\mathbb{Z}_N)^{2g}$，其中 $g$ 是相关黎曼曲面的亏格。 这决定了 5维对称拓扑场理论中的表面算符的一个部分。 我们展示如何从 M-理论的维度约化也能识别这些。 我们讨论与 cluster 代数理论的联系。 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. We discuss connections to the theory of cluster algebras.