Journal article

### Non-toric bases for elliptic Calabi–Yau threefolds and 6D F-theory vacua

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 $h^{1, 1} (S) < 8$ and all base surfaces over which there is an elliptically fibered Calabi-Yau threefold $X$ with Hodge number $h^{2, 1} (X) \geq 150$. These two sets can be used tod...

Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

### Access Document

Files:
• (pdf, 1.3MB)
Publisher copy:
10.4310/ATMP.2017.v21.n4.a6

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-7418-1519
US Department of Energy More from this funder
Publisher:
International Press Publisher's website
Journal:
Advances in Theoretical and Mathematical Physics Journal website
Volume:
21
Issue:
4
Pages:
1063-1114
Publication date:
2017-10-10
Acceptance date:
2017-06-03
DOI:
EISSN:
1095-0753
ISSN:
1095-0761
Pubs id:
pubs:927661
URN:
uri:cb378fc7-015f-4655-9336-a3911b93ef4e
UUID:
uuid:cb378fc7-015f-4655-9336-a3911b93ef4e
Local pid:
pubs:927661
Keywords: