Noninvertible symmetries from holography and branes

We propose a systematic approach to deriving symmetry generators of quantum field theories in holography. Central to this analysis are the Gauss law constraints in the Hamiltonian quantization of symmetry topological field theories (SymTFTs), which are obtained from supergravity. In turn, we realize...

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Main Authors: Apruzzi, F, Bah, I, Bonetti, F, Schafer-Nameki, S
Format: Journal article
Language:English
Published: American Physical Society 2023
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author Apruzzi, F
Bah, I
Bonetti, F
Schafer-Nameki, S
author_facet Apruzzi, F
Bah, I
Bonetti, F
Schafer-Nameki, S
author_sort Apruzzi, F
collection OXFORD
description We propose a systematic approach to deriving symmetry generators of quantum field theories in holography. Central to this analysis are the Gauss law constraints in the Hamiltonian quantization of symmetry topological field theories (SymTFTs), which are obtained from supergravity. In turn, we realize the symmetry generators from world-volume theories of D-branes in holography. Our main focus is on noninvertible symmetries, which have emerged in the past year as a new type of symmetry in d ≥ 4 QFTs. We exemplify our proposal in the holographic confinement setup, dual to 4D N = 1 Super-Yang Mills. In the brane picture, the fusion of noninvertible symmetries naturally arises from the Myers effect on D-branes. In turn, their action on line defects is modeled by the Hanany-Witten effect.
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spelling oxford-uuid:0d747fe2-53a5-4ae1-b19b-d33fee218b3d2023-07-04T19:17:30ZNoninvertible symmetries from holography and branesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0d747fe2-53a5-4ae1-b19b-d33fee218b3dEnglishSymplectic ElementsAmerican Physical Society2023Apruzzi, FBah, IBonetti, FSchafer-Nameki, SWe propose a systematic approach to deriving symmetry generators of quantum field theories in holography. Central to this analysis are the Gauss law constraints in the Hamiltonian quantization of symmetry topological field theories (SymTFTs), which are obtained from supergravity. In turn, we realize the symmetry generators from world-volume theories of D-branes in holography. Our main focus is on noninvertible symmetries, which have emerged in the past year as a new type of symmetry in d ≥ 4 QFTs. We exemplify our proposal in the holographic confinement setup, dual to 4D N = 1 Super-Yang Mills. In the brane picture, the fusion of noninvertible symmetries naturally arises from the Myers effect on D-branes. In turn, their action on line defects is modeled by the Hanany-Witten effect.
spellingShingle Apruzzi, F
Bah, I
Bonetti, F
Schafer-Nameki, S
Noninvertible symmetries from holography and branes
title Noninvertible symmetries from holography and branes
title_full Noninvertible symmetries from holography and branes
title_fullStr Noninvertible symmetries from holography and branes
title_full_unstemmed Noninvertible symmetries from holography and branes
title_short Noninvertible symmetries from holography and branes
title_sort noninvertible symmetries from holography and branes
work_keys_str_mv AT apruzzif noninvertiblesymmetriesfromholographyandbranes
AT bahi noninvertiblesymmetriesfromholographyandbranes
AT bonettif noninvertiblesymmetriesfromholographyandbranes
AT schafernamekis noninvertiblesymmetriesfromholographyandbranes