Topological axion electrodynamics and 4-group symmetry

Understand

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.