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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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
March 28, 2011
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| In: |
Journal of high energy physics
Year: 2011, Issue: 3, Pages: 1-36 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP03(2011)138 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP03(2011)138
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| Author Notes: | Johanna Knapp, Maximilian Kreuzer, Christoph Mayrhofer and Nils-Ole Walliser |
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| 520 | |a 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. | ||
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