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Then

A. Antinucci, F. Benini, C. Copetti, G. Galati, and G. Rizi, Anomalies of non-invertible self-duality symmetries: fractionalization and gauging (2023), arXiv:2308.11707 [hep-th]
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F. Benini, C. Copetti, and L. Di Pietro, Factorization and global symmetries in holography, SciPost Phys. 14
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2024

Anomalies and gauging of U(1) symmetries

Antinucci, Andrea, Benini, Francesco

Understand

We propose the Symmetry TFT for theories with a $U(1)$ symmetry in arbitrary dimension.

The Symmetry TFT describes the structure of the symmetry, its anomalies, and the possible topological manipulations.
It is constructed as a BF theory of gauge fields for groups $U(1)$ and $\mathbb{R}$, and contains a continuum of topological operators.
We also propose an operation that produces the Symmetry TFT for the theory obtained by dynamically gauging the $U(1)$ symmetry.