6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
Name
Martini-2015-6D F-theory models a.pdf
Size
5.42 MB
Format
Adobe PDF
Checksum (MD5)
a92fb89d9c876732bc8e6bc45bb4e9b1
Author(s)
Martini, Gabriella
Taylor, Washington
Date Issued
June 2015
Journal
Journal of High Energy Physics
Publisher
Springer-Verlag
Citation
Martini, Gabriella, and Washington Taylor. “6D F-Theory Models and Elliptically Fibered Calabi-Yau Threefolds over Semi-Toric Base Surfaces.” J. High Energ. Phys. 2015, no. 6 (June 2015).
Version
Final published version
Abstract
We carry out a systematic study of a class of 6D F-theory models and associated Calabi-Yau threefolds that are constructed using base surfaces with a generalization of toric structure. In particular, we determine all smooth surfaces with a structure invariant under a single C[superscript ∗] action (sometimes called “T-varieties” in the mathematical literature) that can act as bases for an elliptic fibration with section of a Calabi-Yau threefold. We identify 162,404 distinct bases, which include as a subset the previously studied set of strictly toric bases. Calabi-Yau threefolds constructed in this fashion include examples with previously unknown Hodge numbers. There are also bases over which the generic elliptic fibration has a Mordell-Weil group of sections with nonzero rank, corresponding to non-Higgsable U(1) factors in the 6D supergravity model; this type of structure does not arise for generic elliptic fibrations in the purely toric context.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP06(2015)061
