Topological axion electrodynamics and 4-group symmetry

Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We study higher-form symmetries and a higher group in the low energy limit of a (3+1)-dimensional axion electrodynamics with a massive axion and a massive photon. A topological field theory describing topological excitations with the axion-photon coupling, which we call a topological axion electrodynamics, is obtained in the low energy limit. Higher-form symmetries of the topological axion electrodynamics are specified by equations of motion and Bianchi identities. We find that there are induced anyons on the intersections of symmetry generators. By a link of worldlines of the anyons, we show that the worldvolume of an axionic domain wall is topologically ordered. We further specify the underlying mathematical structure elegantly describing all salient features of the theory to be a 4-group.

Original languageEnglish
Article number136762
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Publication statusPublished - 2021 Dec 10

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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