Fibrations in CICY threefolds

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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.accessioned2019-02-28T18:45:08Zen
dc.date.available2019-02-28T18:45:08Zen
dc.date.issued2017-10-11en
dc.description.abstractIn this work we systematically enumerate genus one fibrations in the class of 7; 890 Calabi-Yau manifolds defined as complete intersections in products of projective spaces, the so-called CICY threefolds. This survey is independent of the description of the manifolds and improves upon past approaches that probed only a particular algebraic form of the threefolds (i.e. searches for "obvious" genus one fibrations as in [1, 2]). We also study K3-fibrations and nested fibration structures. That is, K3 fibrations with potentially many distinct elliptic fibrations. To accomplish this survey a number of new geometric tools are developed including a determination of the full topology of all CICY threefolds, including triple intersection numbers. In 2; 946 cases this involves finding a new "favorable" description of the manifold in which all divisors descend from a simple ambient space. Our results consist of a survey of obvious fibrations for all CICY threefolds and a complete classification of all genus one fibrations for 4; 957 "Kahler favorable" CICYs whose Kahler cones descend from a simple ambient space. Within the CICY dataset, we find 139; 597 obvious genus one fibrations, 30; 974 obvious K3 fibrations and 208; 987 nested combinations. For the Kahler favorable geometries we find a complete classification of 377; 559 genus one fibrations. For one manifold with Hodge numbers (19; 19) we find an explicit description of an in finite number of distinct genus-one fibrations extending previous results for this particular geometry that have appeared in the literature. The data associated to this scan is available here [3].en
dc.description.notesFor the initial phase of this work, LA (and XG in part) was supported by NSF grant PHY-1417337 and JG (and SJL in part) was supported by NSF grant PHY-1417316. For the conclusion of this project, the work of LA and JG is supported by NSF grant PHY-1720321. This project is part of the working group activities of the 4-VA initiative "A Synthesis of Two Approaches to String Phenomenology". The authors would like to thank Andre Lukas for extremely helpful discussions relating to the material in section 2.2.en
dc.description.sponsorshipNSF [PHY-1417337, PHY-1417316, PHY-1720321]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP10(2017)077en
dc.identifier.issn1029-8479en
dc.identifier.issue10en
dc.identifier.other77en
dc.identifier.urihttp://hdl.handle.net/10919/88027en
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 CICY threefoldsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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