Non-invertible symmetries in axion electrodynamics

-dimensional axion electrodynamics with a massless axion and a massless photon. In addition to a previously known non-invertible 0-form shift symmetry of the axion, we find a non-invertible 1-form symmetry associated with the equation of motion for the photon. Correlation functions of non-invertible symmetry defects lead to invertible 1- and 2-form symmetry defects associated with Bianchi identities for the axion and photon. In terms of the correlation functions, we discuss several phenomena for extended objects, such as induced fractional electric charges on axionic domain walls and fractional axionic operators on intersection points of magnetic flux tubes from the viewpoint of global symmetries.

Note:

35 pages, 3 figures; v2: 36 pages, minor revision, references added

symmetry: global
charge: electric
axion: massless
flux tube: magnetic
photon: massless
axion: domain wall
electromagnetic field
fractional
correlation function
Bianchi identity

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