Non-toric bases for elliptic Calabi–Yau threefolds and 6D F-theory vacua
Name
1504.07689.pdf
Description
Accepted version
Size
1.27 MB
Format
Adobe PDF
Checksum (MD5)
0ab7dbd9b3a9ac7ec2f0e0d1b4c3443a
Author(s)
Taylor, Washington
Wang, Yi-Nan
Date Issued
2017
Journal
Advances in Theoretical and Mathematical Physics
Publisher
International Press of Boston
Version
Author's final manuscript
Abstract
We develop a combinatorial approach to the construction of general smooth compact base surfaces that support elliptic Calabi-Yau threefolds. This extends previous analyses that have relied on toric or semi-toric structure. The resulting algorithm is used to construct all classes of such base surfaces S with h1,1(S) < 8 and all base surfaces over which there is an elliptically fibered Calabi-Yau threefold X with Hodge number h2,1(X) ≥ 150. These two sets can be used to describe all 6D F-theory models that have fewer than seven tensor multiplets or more than 150 neutral scalar fields respectively in their maximally Higgsed phase. Technical challenges to constructing the complete list of base surfaces for all Hodge numbers are discussed.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4310/ATMP.2017.V21.N4.A6
