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arXiv · 2204.07523

Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum

Guillermo Arias-Tamargo·Diego Rodriguez-Gomez
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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 $\mathbb{Z}_2$ 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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Guillermo Arias-Tamargo, Diego Rodriguez-Gomez. 2022-04-15. Non-Invertible Symmetries from Discrete Gauging and Completeness of the Spectrum. https://doi.org/10.1007/jhep04(2023)093

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