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Article
Report number arXiv:2008.10605 ; CERN-TH-2020-138 ; UPR-1306-T
Title String Universality and Non-Simply-Connected Gauge Groups in 8d
Author(s) Cvetič, Mirjam (Pennsylvania U. ; Maribor U.) ; Dierigl, Markus (Pennsylvania U.) ; Lin, Ling (CERN) ; Zhang, Hao Y. (Pennsylvania U.)
Publication 2020-11-20
Imprint 2020-08-24
Number of pages 6
Note 7 pages, two-column style; v2: revised version with extended discussion on interplay between 1-form anomaly and worldsheet current algebra bounds, references added; v3: typos corrected
In: Phys. Rev. Lett. 125 (2020) 211602
DOI 10.1103/PhysRevLett.125.211602
Subject category hep-th ; Particle Physics - Theory
Abstract We present a consistency condition for 8d ${\cal N} = 1$ supergravity theories with non-trivial 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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