An F-theory realization of the chiral MSSM with Z(2)-parity

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dc.contributor.authorCvetič, Mirjamen
dc.contributor.authorLin, Lingen
dc.contributor.authorLiu, Muyangen
dc.contributor.authorOehlmann, Paul-Konstantinen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-02-26T17:45:01Zen
dc.date.available2019-02-26T17:45:01Zen
dc.date.issued2018-09-17en
dc.description.abstractUsing F-theory we construct 4D N = 1 SUGRA theories with the Standard Model gauge group, three chiral generations, and matter parity in order to forbid all dimension four baryon and lepton number violating operators. The underlying geometries are derived by constructing smooth genus-one fibered Calabi-Yau fourfolds using toric tops that have a Jacobian fibration with rank one Mordell-Weil group and SU(3) x SU(2) singularities. The necessary gauge backgrounds on the smooth fourfolds are shown to be fully compatible with the quantization condition, including positive integer D3-tadpoles. This construction realizes for the first time a consistent UV completion of an MSSM-like model with matter parity in F-theory. Moreover our construction is general enough to also exhibit other relevant Z(2) charge extensions of the MSSM such as lepton and baryon parity. Such models however are rendered inconsistent by non-integer fluxes, which are necessary for producing the exact MSSM chiral spectrum. These inconsistencies turn out to be intimately related to field theory considerations regarding a UV-embedding of the Z(2) into a U(1) and the resulting discrete anomalies.en
dc.description.notesWe thank Lara Anderson, James Gray, Markus Dierigl and Timo Weigand for discussions and comments. We further thank Denis Klevers and Jonas Reuter for contributions during the early stages of this project. P.-K.O. is grateful to the Yau Mathematical Sciences Center for its hospitality during the completion of this work. M.C., M.L. and L.L. are supported by DOE Award DE-SC0013528. M.C. further acknowledges the support by the Fay R. and Eugene L. Langberg Endowed Chair and the Slovenian Research Agency The work of P.K.O. is supported by an individual DFG grant OE 657/1-1.en
dc.description.sponsorshipDOE [DE-SC0013528]en
dc.description.sponsorshipFay R. and Eugene L. Langberg Endowed Chairen
dc.description.sponsorshipSlovenian Research Agencyen
dc.description.sponsorshipDFG [OE 657/1-1]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP09(2018)089en
dc.identifier.issn1029-8479en
dc.identifier.issue9en
dc.identifier.other89en
dc.identifier.urihttp://hdl.handle.net/10919/87782en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectDiscrete Symmetriesen
dc.subjectF-Theoryen
dc.subjectFlux compactificationsen
dc.subjectSupersymmetric Standard Modelen
dc.titleAn F-theory realization of the chiral MSSM with Z(2)-parityen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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