Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds

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dc.contributor.authorGray, James A.en
dc.contributor.authorHaupt, Alexander S.en
dc.contributor.authorLukas, Andreen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-13T12:51:48Zen
dc.date.available2019-03-13T12:51:48Zen
dc.date.issued2014-09-17en
dc.description.abstractWe investigate the mathematical properties of the class of Calabi-Yau four-folds recently found in ref. [1]. This class consists of 921,497 configuration matrices which correspond to manifolds that are described as complete intersections in products of projective spaces. For each manifold in the list, we compute the full Hodge diamond as well as additional topological invariants such as Chern classes and intersection numbers. Using this data, we conclude that there are at least 36,779 topologically distinct manifolds in our list. We also study the fibration structure of these manifolds and find that 99.95 percent can be described as elliptic fibrations. In total, we find 50,114,908 elliptic fibrations, demonstrating the multitude of ways in which many manifolds are fibered. A sub-class of 26,088,498 fibrations satisfy necessary conditions for admitting sections. The complete data set can be downloaded here.en
dc.description.notesWe would like to thank Lara Anderson, Ron Donagi and Martijn Wijnholt for useful discussions. A. L. is partially supported by the EPSRC network grant EP/l02784X/1. The results presented here were (partially) carried out on the cluster system at the Leibniz University of Hanover, Germany.en
dc.description.sponsorshipEPSRC [EP/l02784X/1]en
dc.description.sponsorshipEngineering and Physical Sciences Research Council [EP/I02784X/1]en
dc.description.sponsorshipScience and Technology Facilities Council [ST/L000474/1, ST/J000507/1]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP09(2014)093en
dc.identifier.issn1029-8479en
dc.identifier.issue9en
dc.identifier.other93en
dc.identifier.urihttp://hdl.handle.net/10919/88424en
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.subjectDifferential and Algebraic Geometryen
dc.subjectSuperstring Vacuaen
dc.titleTopological invariants and fibration structure of complete intersection Calabi-Yau four-foldsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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