We present a consistency condition for 8D $\mathcal{N}=1$ supergravity theories with nontrivial global structure $G/Z$ for the non-Abelian gauge group, based on an anomaly involving the $Z$ 1-form center symmetry. The interplay with other swampland criteria identifies the majority of 8D theories with gauge group $G/Z$, which have no string theory realization, as inconsistent quantum theories when coupled to gravity. While this condition is equivalent to geometric properties of elliptic $K3$ surfaces in F-theory compactifications, it constrains the unexplored landscape of gauge groups in other 8D string models.

中文翻译：

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字符串通用性和8D中的非简单连接规范组

我们提出了8D的一致性条件 $\mathcal{ñ}=\mathrm{1个}$ 具有非平凡全局结构的超重力理论 $G/ž$ 对于非阿贝尔规范组，基于涉及 $ž$1形中心对称。与其他沼泽地标准的相互作用识别出带有量规组的大多数8D理论$G/ž$，没有弦理论的实现，当与重力耦合时，量子理论就不一致。虽然此条件等效于椭圆的几何特性$ķ3$ 在F理论压实过程中，它约束了其他8D弦模型中未规范的量规组。