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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Arias-Tamargo, G., Rodríguez-Gómez, D. Non-invertible symmetries from discrete gauging and completeness of the spectrum. J. High Energ. Phys. 2023, 93 (2023). https://doi.org/10.1007/JHEP04(2023)093
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DOI: https://doi.org/10.1007/JHEP04(2023)093