Higher-form symmetries and 3-group in axion electrodynamics

Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura

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37 Citations (Scopus)


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.

Original languageEnglish
Article number135672
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publication statusPublished - 2020 Sept 10

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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