Toric construction of global F-theory GUTs

We systematically construct a large number of compact Calabi-Yau fourfolds which are suitable for F-theory model building. These elliptically fibered Calabi-Yaus are complete intersections of two hypersurfaces in a six dimensional ambient space. We first construct three-dimensional base manifolds th...

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Hauptverfasser: Knapp, Johanna (VerfasserIn) , Kreuzer, Maximilian (VerfasserIn) , Mayrhofer, Christoph (VerfasserIn) , Walliser, Nils-Ole (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: March 28, 2011
In: Journal of high energy physics
Year: 2011, Heft: 3, Pages: 1-36
ISSN:1029-8479
DOI:10.1007/JHEP03(2011)138
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP03(2011)138
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Verfasserangaben:Johanna Knapp, Maximilian Kreuzer, Christoph Mayrhofer and Nils-Ole Walliser
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Zusammenfassung:We systematically construct a large number of compact Calabi-Yau fourfolds which are suitable for F-theory model building. These elliptically fibered Calabi-Yaus are complete intersections of two hypersurfaces in a six dimensional ambient space. We first construct three-dimensional base manifolds that are hypersurfaces in a toric ambient space. We search for divisors which can support an F-theory GUT. The fourfolds are obtained as elliptic fibrations over these base manifolds. We find that elementary conditions which are motivated by F-theory GUTs lead to strong constraints on the geometry, which significantly reduce the number of suitable models. The complete database of models is available at [1]. We work out several examples in more detail.
Beschreibung:Gesehen am 26.09.2022
Beschreibung:Online Resource
ISSN:1029-8479
DOI:10.1007/JHEP03(2011)138