Physical Review Letters ( IF 8.385 ) Pub Date : 2020-11-20 , DOI: 10.1103/physrevlett.125.211602
Mirjam Cvetič; Markus Dierigl; Ling Lin; Hao Y. Zhang

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.

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