A generalization of decomposition in orbifolds

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dc.contributor.authorRobbins, Daniel G.en
dc.contributor.authorSharpe, Ericen
dc.contributor.authorVandermeulen, Thomasen
dc.date.accessioned2022-03-23T12:26:34Zen
dc.date.available2022-03-23T12:26:34Zen
dc.date.issued2021-10-18en
dc.description.abstractThis paper describes a generalization of decomposition in orbifolds. In general terms, decomposition states that two-dimensional orbifolds and gauge theories whose gauge groups have trivially-acting subgroups decompose into disjoint unions of theories. However, decomposition can be, at least naively, broken in orbifolds if the orbifold has discrete torsion in the trivially-acting subgroup. (Formally, this breaks finite global one-form symmetries.) Nevertheless, even in such cases, one still sees rudiments of decomposition. In this paper, we generalize decomposition in orbifolds to include such examples of discrete torsion, which we check in numerous examples. Our analysis includes as special cases (and in one sense generalizes) quantum symmetries of abelian orbifolds.en
dc.description.notesWe would like to thank R. Donagi, T. Pantev, and Y. Tachikawa for useful conversations. D.R. was partially supported by NSF grant PHY-1820867. E.S. was partially supported by NSF grants PHY-1720321 and PHY-2014086.en
dc.description.sponsorshipNSFNational Science Foundation (NSF) [PHY-1720321, PHY-2014086]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP10(2021)134en
dc.identifier.issn1029-8479en
dc.identifier.issue10en
dc.identifier.other134en
dc.identifier.urihttp://hdl.handle.net/10919/109425en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectConformal Field Theoryen
dc.subjectDiscrete Symmetriesen
dc.subjectGauge Symmetryen
dc.subjectConformal Field Models in String Theoryen
dc.titleA generalization of decomposition in orbifoldsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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