Global 4-group symmetry and 't Hooft anomalies in topological axion electrodynamics

Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


We study higher-form global symmetries and a higher-group structure of a low-energy limit of (3 + 1)-dimensional axion electrodynamics in a gapped phase described by a topological action. We argue that the higher-form symmetries should have a semi-strict 4-group (3-crossed module) structure by consistency conditions of couplings of the topological action to background gauge fields for the higher-form symmetries. We find possible 't Hooft anomalies for the 4-group global symmetry, and discuss physical consequences.

Original languageEnglish
Article number04A109
JournalProgress of Theoretical and Experimental Physics
Issue number4
Publication statusPublished - 2022 Apr 1


  • B31

ASJC Scopus subject areas

  • General Physics and Astronomy


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