SymTFTs for $U(1)$ symmetries from descent
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917845392162816 |
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| author | Gagliano, Finn Etxebarria, Iñaki García |
| author_facet | Gagliano, Finn Etxebarria, Iñaki García |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_15126 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | SymTFTs for $U(1)$ symmetries from descent Gagliano, Finn Etxebarria, Iñaki García High Energy Physics - Theory 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. |
| title | SymTFTs for $U(1)$ symmetries from descent |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.15126 |