标题： 极大强耦合$\mathcal{N}=2$超共形场论的 ABCDEFGJK 显示英文标题

标题： The ABCDEFGJK of maximally strongly coupled $\mathcal{N}=2$ SCFTs

摘要： 我们将所有可能的电荷格子和1形式对称群分类，适用于具有特征维度$\varkappa \neq \{1,2\}$的$\mathcal{N}=2$场论。对于秩为$r$且不是低秩理论堆叠的 SCFT，1形式对称群的阶可以是1、2、3、4和$r+1$。作为分类的应用，我们证明了$\mathcal{N}=2$ $S$ -折叠和 Minahan-Nemeschansky 场论具有平凡的1形式对称性。 我们发现了两个孤立的格子，它们与库仑分支几何结构$\mathbb{C}^5/G_{33}$和$\mathbb{C}^6/G_{34}$兼容，但无法通过任何已知的 SCFT 实现。 前者如果能够实现，则具有$\mathbb{Z}_2$一形式对称性和非可逆拓扑缺陷。 显示英文摘要

摘要： We classify all possible charge lattices and 1-form symmetry groups for $\mathcal{N}=2$ SCFTs with characteristic dimension $\varkappa \neq \{1,2\}$. For rank-$r$ SCFTs that are not stacks of lower rank theories the order of the 1-form symmetry group can be 1,2,3,4 and $r+1$. As an application of the classification we show that $\mathcal{N}=2$ $S$-folds and Minahan-Nemeschansky SCFTs have trivial 1-form symmetry. We find two sporadic lattices compatible with the Coulomb branch geometries $\mathbb{C}^5/G_{33}$ and $\mathbb{C}^6/G_{34}$ that are not realized by any known SCFT. The former, if realized, would have a $\mathbb{Z}_2$ 1-form symmetry and a non-invertible topological defect.