Geometric constraints in dual F-theory and heterotic string compactifications

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dc.contributor.authorAnderson, Lara B.en
dc.contributor.authorTaylor, Washingtonen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-13T12:51:49Zen
dc.date.available2019-03-13T12:51:49Zen
dc.date.issued2014-08-05en
dc.description.abstractWe systematically analyze a broad class of dual heterotic and F-theory models that give four-dimensional supergravity theories, and compare the geometric constraints on the two sides of the duality. Specifically, we give a complete classification of models where the heterotic theory is compactified on a smooth Calabi-Yau threefold that is elliptically fibered with a single section and carries smooth irreducible vector bundles, and the dual F-theory model has a corresponding threefold base that has the form of a P 1 bundle. We formulate simple conditions for the geometry on the F-theory side to support an elliptically fibered Calabi-Yau fourfold. We match these conditions with conditions for the existence of stable vector bundles on the heterotic side, and show that F-theory gives new insight into the conditions under which such bundles can be constructed. In particular, we find that many allowed F-theory models correspond to vector bundles on the heterotic side with exceptional structure groups, and determine a topological condition that is only satisfied for bundles of this type. We show that in many cases the F-theory geometry imposes a constraint on the extent to which the gauge group can be enhanced, corresponding to limits on the way in which the heterotic bundle can decompose. We explicitly construct all (4962) F-theory threefold bases for dual F-theory/heterotic constructions in the subset of models where the common twofold base surface is toric, and give both toric and non-toric examples of the general results.en
dc.description.notesWe would like to thank Ron Donagi, Antonella Grassi, James Gray, Thomas Grimm, Jonathan Heckman, Samuel Johnson, Denis Klevers, Gabriella Martini, David Morrison, Daniel Park, and Lucia Swanson for helpful discussions. This research was supported by the DOE under contract #DE-FC02-94ER40818, and was also supported in part by the National Science Foundation under Grant No. PHY-1066293. We would like to thank the Simons Center for Geometry and Physics (LA and WT), the Aspen Center for Physics (WT), and the Center for the Theoretical Physics at MIT (LA) for hospitality during part of this work.en
dc.description.sponsorshipDOE [DE-FC02-94ER40818]en
dc.description.sponsorshipNational Science Foundation [PHY-1066293]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP08(2014)025en
dc.identifier.issn1029-8479en
dc.identifier.issue8en
dc.identifier.other25en
dc.identifier.urihttp://hdl.handle.net/10919/88425en
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.subjectSuperstrings and Heterotic Stringsen
dc.subjectSuperstring Vacuaen
dc.titleGeometric constraints in dual F-theory and heterotic string compactificationsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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