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

Abstract 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...

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Published inProgress of theoretical and experimental physics Vol. 2022; no. 4
Main Authors Hidaka, Yoshimasa, Nitta, Muneto, Yokokura, Ryo
Format Journal Article
LanguageEnglish
Published Oxford Oxford University Press 01.04.2022
Subjects
Atoms & subatomic particles
Condensed matter physics
Particle physics
Spacetime
String theory
Symmetry
Vortices
B31
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ISSN2050-3911
2050-3911
DOI10.1093/ptep/ptab150

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Summary:Abstract 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.
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ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptab150