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

Abstract 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-energ...

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Main Authors: Federico Bonetti, Michele Del Zotto, Ruben Minasian
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP02(2025)156
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author Federico Bonetti
Michele Del Zotto
Ruben Minasian
author_facet Federico Bonetti
Michele Del Zotto
Ruben Minasian
author_sort Federico Bonetti
collection DOAJ
description Abstract 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 × 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 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 ≥ 1. We highlight several subtle points related to the non-orientability of 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.
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spelling doaj-art-e9ac21dc1dae45799e4a2a67eec3ddc92025-08-20T02:16:28ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025216510.1007/JHEP02(2025)156SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theoryFederico Bonetti0Michele Del Zotto1Ruben Minasian2Departamento de Electromagnetismo y Electrónica, Universidad de MurciaDepartment of Mathematics, Uppsala UniversityInstitut de Physique Théorique, Université Paris Saclay, CNRS, CEAAbstract 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 × 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 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 ≥ 1. We highlight several subtle points related to the non-orientability of 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.https://doi.org/10.1007/JHEP02(2025)156AdS-CFT CorrespondenceField Theories in Higher DimensionsGlobal SymmetriesM-Theory
spellingShingle Federico Bonetti
Michele Del Zotto
Ruben Minasian
SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theory
Journal of High Energy Physics
AdS-CFT Correspondence
Field Theories in Higher Dimensions
Global Symmetries
M-Theory
title SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theory
title_full SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theory
title_fullStr SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theory
title_full_unstemmed SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theory
title_short SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theory
title_sort symtfts and non invertible symmetries of 6d 2 0 scfts of type d from m theory
topic AdS-CFT Correspondence
Field Theories in Higher Dimensions
Global Symmetries
M-Theory
url https://doi.org/10.1007/JHEP02(2025)156
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AT rubenminasian symtftsandnoninvertiblesymmetriesof6d20scftsoftypedfrommtheory