Fibrations in non-simply connected Calabi-Yau quotients

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dc.contributor.authorAnderson, Lara B.en
dc.contributor.authorGray, James A.en
dc.contributor.authorHammack, Brianen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-02-26T17:45:01Zen
dc.date.available2019-02-26T17:45:01Zen
dc.date.issued2018-08-21en
dc.description.abstractIn this work we study genus one fibrations in Calabi-Yau three-folds with a non-trivial first fundamental group. The manifolds under consideration are constructed as smooth quotients of complete intersection Calabi-Yau three-folds (CICYs) by a freely acting, discrete automorphism. By probing the compatibility of symmetries with genus one fibrations (that is, discrete group actions which preserve a local decomposition of the manifold into fiber and base) we find fibrations that are inherited from fibrations on the covering spaces. Of the 7,890 CICY three-folds, 195 exhibit known discrete symmetries, leading to a total of 1,695 quotient manifolds. By scanning over 20,700 fiber/symmetry pairs on the covering spaces we find 17,161 fibrations on the quotient Calabi-Yau manifolds. It is found that the vast majority of the non-simply connected manifolds studied exhibit multiple different genus one fibrations - echoing a similar ubiquity of such structures that has been observed in other data sets. The results are available at [1]. The possible base manifolds are all singular and are catalogued. These Calabi-Yau fibrations generically exhibit multiple fibers and are of interest in F-theory as backgrounds leading to theories with superconformal loci and discretely charged matter.en
dc.description.notesThe work of L.A. and J.G. is supported in part by NSF grant PHY-1720321. This research is part of the working group activities of the the 4-VA initiative "A Synthesis of Two Approaches to String Phenomenology".en
dc.description.sponsorshipNSF [PHY-1720321]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP08(2018)128en
dc.identifier.issn1029-8479en
dc.identifier.issue8en
dc.identifier.other128en
dc.identifier.urihttp://hdl.handle.net/10919/87783en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectDifferential and Algebraic Geometryen
dc.subjectF-Theoryen
dc.subjectSuperstring Vacuaen
dc.titleFibrations in non-simply connected Calabi-Yau quotientsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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