SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory
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arXiv
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| Format: | Preprint |
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2024
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| author | Bonetti, Federico Del Zotto, Michele Minasian, Ruben |
| author_facet | Bonetti, Federico Del Zotto, Michele Minasian, Ruben |
| contents | We revisit 6d (2,0) SCFTs of type $D_N$ and their realization in M-theory, focusing on absolute variants of these theories and on their global finite 0- and 2-form symmetries. We derive the 7d SymTFT capturing these global symmetries from M-theory, both from the point of view of the low-energy supergravity action on $AdS_7\times \mathbb{RP}^4$ and from M2- and M5-branes giving rise to its topological operators. Along the way, results by Gukov, Hsin, and Pei are extended by keeping track of an additional 7d $\mathbb Z_2$ gauge field, associated to the outer automorphism of the $D_N$ algebra. In particular, we find an interplay of non-invertible symmetries and mixed anomalies for absolute 6d (2,0) $D_{4k}$ SCFTs with $k\ge 1$. We highlight several subtle points related to the non-orientability of $\mathbb{RP}^4$, the half-integral $G_4$-flux that threads it, and the non-commutativity of fluxes. All these also play an essential role in a holographic derivation of the anomaly polynomial of 6d (2,0) $D_N$ SCFTs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_07842 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory Bonetti, Federico Del Zotto, Michele Minasian, Ruben High Energy Physics - Theory We revisit 6d (2,0) SCFTs of type $D_N$ and their realization in M-theory, focusing on absolute variants of these theories and on their global finite 0- and 2-form symmetries. We derive the 7d SymTFT capturing these global symmetries from M-theory, both from the point of view of the low-energy supergravity action on $AdS_7\times \mathbb{RP}^4$ and from M2- and M5-branes giving rise to its topological operators. Along the way, results by Gukov, Hsin, and Pei are extended by keeping track of an additional 7d $\mathbb Z_2$ gauge field, associated to the outer automorphism of the $D_N$ algebra. In particular, we find an interplay of non-invertible symmetries and mixed anomalies for absolute 6d (2,0) $D_{4k}$ SCFTs with $k\ge 1$. We highlight several subtle points related to the non-orientability of $\mathbb{RP}^4$, the half-integral $G_4$-flux that threads it, and the non-commutativity of fluxes. All these also play an essential role in a holographic derivation of the anomaly polynomial of 6d (2,0) $D_N$ SCFTs. |
| title | SymTFTs and Non-Invertible Symmetries of 6d (2,0) SCFTs of Type $D$ from M-theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.07842 |