Journal of High Energy Physics (Apr 2023)

Non-invertible symmetries from discrete gauging and completeness of the spectrum

  • Guillermo Arias-Tamargo,
  • Diego Rodríguez-Gómez

DOI
https://doi.org/10.1007/JHEP04(2023)093
Journal volume & issue
Vol. 2023, no. 4
pp. 1 – 22

Abstract

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Abstract We study global 1- and (d − 2)-form symmetries for gauge theories based on disconnected gauge groups which include charge conjugation. For pure gauge theories, the 1-form symmetries are shown to be non-invertible. In addition, being the gauge groups disconnected, the theories automatically have a ℤ2 global (d − 2)-form symmetry. We propose String Theory embeddings for gauge theories based on these groups. Remarkably, they all automatically come with twist vortices which break the (d − 2)-form global symmetry. This is consistent with the conjectured absence of global symmetries in Quantum Gravity.

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