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2024

The Non-Invertible Axial Symmetry in QED Comes Full Circle

Arbalestrier, Adrien, Argurio, Riccardo, Tizzano, Luigi

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We revisit the possibility of constructing non-invertible topological defects for the axial symmetry of massless QED, despite its ABJ anomaly.

Dressing the defects with a topological quantum field theory with mixed $U(1)$ and $\mathbb{R}$-valued gauge fields, we are able to describe axial rotations of any rational or irrational angle.
We confront our results with the existing proposals, in particular those that concern rational angles.
We also provide the Symmetry TFT that reproduces the action of all such symmetry defects of QED.

The Non-Invertible Axial Symmetry in QED Comes Full Circle · Around

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2024

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