On the Hodge structure of elliptically fibered Calabi-Yau threefolds
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Author(s)
Taylor, Washington
Date Issued
August 2012
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Taylor, Washington. “On the Hodge Structure of Elliptically Fibered Calabi-Yau Threefolds.” J. High Energ. Phys. 2012, no. 8 (August 2012).
Version
Original manuscript
Abstract
The Hodge numbers of generic elliptically fibered Calabi-Yau threefolds over toric base surfaces fill out the “shield” structure previously identified by Kreuzer and Skarke. The connectivity structure of these spaces and bounds on the Hodge numbers are illuminated by considerations from F-theory and the minimal model program. In particular, there is a rigorous bound on the Hodge number h [subscript 21] ≤ 491 for any elliptically fibered Calabi-Yau threefold. The threefolds with the largest known Hodge numbers are associated with a sequence of blow-ups of toric bases beginning with the Hirzebruch surface F[subscript 12] and ending with the toric base for the F-theory model with largest known gauge group.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/jhep08(2012)032
