2021/07/31 by Yoshimasa Hidaka, Muneto Nitta, Ryo Yokokura · 2 citations
Mathematics · Physics and Astronomy · #Axion #Black Holes and Theoretical Physics #Coupling (piping) #Dark Matter and Cosmic Phenomena #Dark matter #Field (mathematics) #Geometry #Group (periodic table) #Homogeneous space #Mathematics #Noncommutative and Quantum Gravity Theories #Particle physics #Photon #Physics #Pure mathematics #Quantum mechanics #Symmetry (geometry) #Theoretical physics #Topology (electrical circuits) #cond-mat.str-el #hep-ph #hep-th
paper · pdf · doi:10.1016/j.physletb.2021.136762
published as Phys. Lett. B 823 (2021) 136762 · 8 pages, 2 figures; v2: minor revision, published version with more references
openalex publication_date 2021/11/03 · arxiv created 2022/03/03 · arxiv updated 2022/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.