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

Higher-form symmetries and 3-group in axion electrodynamics

classification hep-th cond-mat.str-elhep-ph
keywords higher-formsymmetriesaxiongroupeffectelectrodynamicsaccompaniedanomalous
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

  1. CMB Birefringence from Vacuum Interfaces

    hep-th 2026-05 unverdicted novelty 7.0

    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

    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. 3-Crossed Module Structure in the Five-Dimensional Topological Axion Electrodynamics

    hep-th 2026-02 unverdicted novelty 6.0

    The five-dimensional topological axion electrodynamics is shown to possess a 3-crossed module structure through modified Stueckelberg couplings required for background gauge invariance.