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Generalized symmetries in 2D from string theory: SymTFTs, intrinsic relativeness, and anomalies of non-invertible symmetries

dc.contributor.authorFranco, Sebastiánen
dc.contributor.authorYu, Xingyangen
dc.date.accessioned2024-11-18T13:54:56Zen
dc.date.available2024-11-18T13:54:56Zen
dc.date.issued2024-11-05en
dc.date.updated2024-11-17T04:21:58Zen
dc.description.abstractGeneralized global symmetries, in particular non-invertible and categorical symmetries, have become a focal point in the recent study of quantum field theory (QFT). In this paper, we investigate aspects of symmetry topological field theories (SymTFTs) and anomalies of non-invertible symmetries for 2D QFTs from a string theory perspective. Our primary focus is on an infinite class of 2D QFTs engineered on D1-branes probing toric Calabi-Yau 4-fold singularities. We derive 3D SymTFTs from the topological sector of IIB supergravity and discuss the resulting 2D QFTs, which can be intrinsically relative or absolute. For intrinsically relative QFTs, we propose a sufficient condition for them to exist. For absolute QFTs, we show that they exhibit non-invertible symmetries with an elegant brane origin. Furthermore, we find that these non-invertible symmetries can suffer from anomalies, which we discuss from a top-down perspective. Explicit examples are provided, including theories for Y(p,k)(ℙ2), Y(2,0)(ℙ1 × ℙ1), and ℂ4/ℤ4 geometries.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationJournal of High Energy Physics. 2024 Nov 05;2024(11):4en
dc.identifier.doihttps://doi.org/10.1007/JHEP11(2024)004en
dc.identifier.urihttps://hdl.handle.net/10919/123622en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.holderThe Author(s)en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleGeneralized symmetries in 2D from string theory: SymTFTs, intrinsic relativeness, and anomalies of non-invertible symmetriesen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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