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  • Open Access

String Universality and Non-Simply-Connected Gauge Groups in 8D

Mirjam Cvetič1,2, Markus Dierigl1, Ling Lin3, and Hao Y. Zhang1

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6396, USA
  • 2Center for Applied Mathematics and Theoretical Physics, University of Maribor, Maribor, Slovenia
  • 3Department of Theoretical Physics, CERN, 1211 Geneva 23, Switzerland

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Phys. Rev. Lett. 125, 211602 – Published 20 November, 2020

DOI: https://doi.org/10.1103/PhysRevLett.125.211602

Abstract

We present a consistency condition for 8D 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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Phys. Rev. Lett. 125, 211602– Published 20 November, 2020
  • Received 3 September 2020
  • Revised 26 October 2020
  • Accepted 4 November 2020
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