On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
We systematically analyze the fibration structure of toric hypersurface Calabi-Yau threefolds with large and small Hodge numbers. We show that there are only four such Calabi-Yau threefolds with h1,1 ≥ 140 or h2,1 ≥ 140 that do not have manifest elliptic or genus one fibers arising from a fibration of the associated 4D polytope. There is a genus one fibration whenever either Hodge number is 150 or greater, and an elliptic fibration when either Hodge number is 228 or greater. We find that for small h1,1 the fraction of polytopes in the KS database that do not have a genus one or elliptic fibration drops exponentially as h1,1 increases. We also consider the different toric fiber types that arise in the polytopes of elliptic Calabi-Yau threefolds.
- Research Organization:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- SC0012567
- OSTI ID:
- 1611866
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2019, Issue 3; ISSN 1029-8479
- Publisher:
- Springer BerlinCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Phases of 5d SCFTs from M-/F-theory on non-flat fibrations
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journal | May 2019 |
Modularity from monodromy
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journal | May 2019 |
Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities
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journal | November 2019 |
Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations | text | January 2018 |
Modularity from Monodromy | text | January 2019 |
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