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Decomposition, trivially-acting symmetries, and topological operators

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dc.contributor.authorRobbins, Daniel G.en
dc.contributor.authorSharpe, Ericen
dc.contributor.authorVandermeulen, Thomasen
dc.date.accessioned2023-08-11T13:33:11Zen
dc.date.available2023-08-11T13:33:11Zen
dc.date.issued2023-04en
dc.description.abstractTrivially-acting symmetries in two-dimensional conformal field theory include twist fields of dimension zero which are local topological operators. We investigate the consequences of regarding these operators as part of the global symmetry of the theory. That is, we regard such a symmetry as a mix of topological defect lines (TDLs) and topological point operators (TPOs). TDLs related by a trivially-acting symmetry can join at a TPO to form nontrivial two-way junctions. Upon gauging, the local operators at those junctions can become vacua in a disjoint union of theories. Examining the behavior of the TPOs under gauging therefore allows us to refine decomposition by tracking the trivially-acting symmetries of each universe. Mixed anomalies between the TDLs and TPOs provide discrete torsionlike phases for the partition functions of these orbifolds, modifying the resulting decomposition. This framework also readily allows for the consideration of trivially-acting noninvertible symmetries.en
dc.description.notesWe would like to thank D. Ben -Zvi, T. Pantev, and Y. Tachikawa for useful discussions. D. R. was partially supported by NSF Grant No. PHY-1820867. E. S. was partially supported by NSF Grant No. PHY-2014086.en
dc.description.sponsorshipNSF [PHY-2014086]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1103/PhysRevD.107.085017en
dc.identifier.eissn2470-0029en
dc.identifier.issn2470-0010en
dc.identifier.issue8en
dc.identifier.other85017en
dc.identifier.urihttp://hdl.handle.net/10919/116019en
dc.identifier.volume107en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectlandau-ginzburg modelsen
dc.subjectgromov-witten theoryen
dc.subjectstring compactificationsen
dc.subjectgerbesen
dc.subjectstacksen
dc.subjectinvariantsen
dc.subjectdualityen
dc.titleDecomposition, trivially-acting symmetries, and topological operatorsen
dc.title.serialPhysical Review Den
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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