Tools for CICYs in F-theory

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dc.contributor.authorAnderson, Lara B.en
dc.contributor.authorGao, Xinen
dc.contributor.authorGray, James A.en
dc.contributor.authorLee, Seung-Jooen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-04T13:54:10Zen
dc.date.available2019-03-04T13:54:10Zen
dc.date.issued2016-11-02en
dc.description.abstractWe provide a set of tools for analyzing the geometry of elliptically fibered Calabi-Yau manifolds, starting with a description of the total space rather than with a Weierstrass model or a specified type of fi ber/base. Such an approach to the subject of F-theory compactification makes certain geometric properties, which are usually hidden, manifest. Specifically, we review how to isolate genus-one fi brations in such geometries and then describe how to find their sections explicitly. This includes a full parameterization of the Mordell-Weil group where non-trivial. We then describe how to analyze the associated Weierstrass models, Jacobians and resolved geometries. We illustrate our discussion with concrete examples which are complete intersections in products of projective spaces (CICYs). The examples presented include cases exhibiting non-abelian symmetries and higher rank Mordell-Weil group. We also make some comments on non-flat fi brations in this context. In a companion paper [1] to this one, these results will be used to analyze the consequences for string dualities of the ubiquity of multiple fi brations in known constructions of Calabi-Yau manifolds.en
dc.description.notesThe authors would like to thank A. Grassi, A. Kapfer, T. Pantev, W. Taylor for helpful conversations. The work of LA (and XG in part) is supported by NSF grant PHY-1417337 and that of JG (and SJL in part) is supported by NSF grant PHY-1417316. This project is part of the working group activities of the 4-VA initiative "A Synthesis of Two Approaches to String Phenomenology".en
dc.description.sponsorshipNSF [PHY-1417337, PHY-1417316]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP11(2016)004en
dc.identifier.issn1029-8479en
dc.identifier.issue11en
dc.identifier.other4en
dc.identifier.urihttp://hdl.handle.net/10919/88063en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectF-Theoryen
dc.subjectString Dualityen
dc.titleTools for CICYs in F-theoryen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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