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

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arxiv 2204.07523 v1 pith:7ON5WHAA submitted 2022-04-15 hep-th

Guillermo Arias-Tamargo , Diego Rodriguez-Gomez This is my paper · ORCID
classification hep-th
keywords gaugeformglobalsymmetriestheoriesgroupsautomaticallydisconnected
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The AdS/$\mathsf{C}$-$\mathsf{P}$-${\mathsf T}$ Correspondence

    hep-th 2025-07 conditional novelty 8.0 of 10

    N=4 super Yang-Mills has P and T symmetries that mix with CP and CT under S-duality, and these map to specific worldsheet and geometric symmetries of Type IIB string theory.

  2. Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories

    cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

    Non-invertible symmetries in finite-group gauge theories are realized as condensation defects, with a complete Z_N dictionary and new automorphism symmetry expressions.

  3. Finiteness and the Emergence of Dualities

    hep-th 2024-12 conditional novelty 6.0 of 10

    Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.

  4. The Higher Structure of Symmetries of Axion-Maxwell Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    The paper determines the fusion interfaces and F-symbols for the non-invertible electric 1-form symmetry of 4d axion-Maxwell theory.

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