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

Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)


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.

Original languageEnglish
Article number173
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 2021 Jan


  • Effective Field Theories
  • Global Symmetries
  • Topological Field Theories
  • Topological States of Matter

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Global 3-group symmetry and ’t Hooft anomalies in axion electrodynamics'. Together they form a unique fingerprint.

Cite this