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arXiv · 2411.15126

SymTFTs for $U(1)$ symmetries from descent

Finn Gagliano·Iñaki García Etxebarria
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Abstract

Recently, the notion of symmetry descent has been introduced in order to obtain the $(d+1)$-dimensional Symmetry TFT (SymTFT) of a $d$-dimensional QFT from the edge mode behaviour of a theory in $(d+2)$-dimensions. This method has so far been used to obtain SymTFTs for discrete higher-form symmetries of geometrically engineered QFTs. In this note, we extend the symmetry descent procedure to obtain SymTFTs for $U(1)$ higher-form symmetries of geometrically engineered QFTs. We find the resulting SymTFTs match those in the works of Antinucci-Benini and Brennan-Sun.

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Finn Gagliano, Iñaki García Etxebarria. 2024-11-22. SymTFTs for $U(1)$ symmetries from descent. https://arxiv.org/abs/2411.15126

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