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<p>We revisit 6d (2,0) SCFTs of type <i>D</i><sub><i>N</i></sub> 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 <b>AdS</b><sub>7</sub> × <b>RP</b><sup>4</sup> 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 <i>ℤ</i><sub>2</sub> gauge field, associated to the outer automorphism of the <i>D</i><sub><i>N</i></sub> algebra. In particular, we find an interplay of non-invertible symmetries and mixed anomalies for absolute 6d (2,0) <i>D</i><sub>4<i>k</i></sub> SCFTs with <i>k</i> ≥ 1. We highlight several subtle points related to the non-orientability of <b>RP</b><sup>4</sup>, the half-integral <i>G</i><sub>4</sub>-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) <i>D</i><sub><i>N</i></sub> SCFTs.</p>

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SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theory

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  • 出版模式：

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  • 发表日期：

    2025年2月25日

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  • Federico Bonetti,
  • Michele Del Zotto,
  • Ruben Minasian

摘要

We revisit 6d (2,0) SCFTs of type DN 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 AdS7 × RP4 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 ℤ2 gauge field, associated to the outer automorphism of the DN algebra. In particular, we find an interplay of non-invertible symmetries and mixed anomalies for absolute 6d (2,0) D4k SCFTs with k ≥ 1. We highlight several subtle points related to the non-orientability of RP4, the half-integral G4-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) DN SCFTs.