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Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics

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arxiv 2009.14368 v2 pith:GAMSEA3S submitted 2020-09-30 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 grouphooftstructureanomaliesaxionelectrodynamicsformglobal
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abstract

We investigate a higher-group structure of massless axion electrodynamics in $(3+1)$ dimensions. By using the background gauging method, we show that the higher-form symmetries necessarily have a global semistrict 3-group (2-crossed module) structure, and exhibit 't Hooft anomalies of the 3-group. In particular, we find a cubic mixed 't Hooft anomaly between 0-form and 1-form symmetries, which is specific to the higher-group structure.

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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. 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.

  2. 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.

  3. Non-invertible symmetries in the axiverse, and the imaginary wormholes

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.

  4. Generalized forms of types N = 1, 2 and higher gauge theory

    math-ph 2026-01 conditional novelty 6.0 of 10

    Strict 2- and 3-gauge theory is re-expressed in a single generalized-form formalism in which higher connections, curvatures, Bianchi identities, and gauge transformations match ordinary gauge-theory form, yielding uni...

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