Sangam: A Confluence of Knowledge Streams

On the Hodge structure of elliptically fibered Calabi-Yau threefolds

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dc.contributor Massachusetts Institute of Technology. Center for Theoretical Physics
dc.contributor Massachusetts Institute of Technology. Department of Physics
dc.contributor Taylor, Washington
dc.creator Taylor, Washington
dc.date 2014-08-07T13:52:50Z
dc.date 2014-08-07T13:52:50Z
dc.date 2012-08
dc.date 2012-05
dc.date.accessioned 2023-03-01T18:12:02Z
dc.date.available 2023-03-01T18:12:02Z
dc.identifier 1029-8479
dc.identifier 1126-6708
dc.identifier http://hdl.handle.net/1721.1/88570
dc.identifier Taylor, Washington. “On the Hodge Structure of Elliptically Fibered Calabi-Yau Threefolds.” J. High Energ. Phys. 2012, no. 8 (August 2012).
dc.identifier https://orcid.org/0000-0001-8566-6706
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/279129
dc.description 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.
dc.description United States. Dept. of Energy (Contract DE-FC02-94ER40818)
dc.format application/pdf
dc.language en_US
dc.publisher Springer-Verlag
dc.relation http://dx.doi.org/10.1007/jhep08(2012)032
dc.relation Journal of High Energy Physics
dc.rights Creative Commons Attribution-Noncommercial-Share Alike
dc.rights http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.source arXiv
dc.title On the Hodge structure of elliptically fibered Calabi-Yau threefolds
dc.type Article
dc.type http://purl.org/eprint/type/JournalArticle


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