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Higher-form symmetries and 3-group in axion electrodynamics

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arxiv 2006.12532 v3 pith:7A27KQHE submitted 2020-06-22 hep-th cond-mat.str-elhep-ph

Yoshimasa Hidaka , Muneto Nitta , Ryo Yokokura This is my paper · ORCID
classification hep-thcond-mat.str-elhep-ph
keywords higher-formsymmetriesaxiongroupeffectelectrodynamicsaccompaniedanomalous
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abstract

We study higher-form symmetries in a low-energy effective theory of a massless axion coupled with a photon in $(3+1)$ dimensions. It is shown that the higher-form symmetries of this system are accompanied by a semistrict 3-group (2-crossed module) structure, which can be found by the correlation functions of symmetry generators of the higher-form symmetries. We argue that the Witten effect and anomalous Hall effect in the axion electrodynamics can be described in terms of 3-group transformations.

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Cited by 3 Pith papers

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

  1. CMB Birefringence from Vacuum Interfaces

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    CMB polarization rotation emerges as a Pancharatnam phase localized at dark sector vacuum interfaces, independent of redshift, frequency, and the presence of light axions.

  2. Generalized Families of QFTs

    hep-th 2026-02 unverdicted novelty 7.0 of 10

    Generalized family anomalies for broken higher-group and non-invertible symmetries constrain RG flows and IR phases of QFT families, with explicit application to deformed 4d QCD.

  3. Tilts from 2-Groups

    hep-th 2026-08 conditional novelty 6.0 of 10

    Line operators charged under the 1-form part of a 2-group symmetry must generically break the 0-form part, enforced by a family anomaly derived from Wess-Zumino consistency.

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