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Heterotic line bundle models on elliptically fibered Calabi-Yau three-folds

Abstract:
We analyze heterotic line bundle models on elliptically fibered Calabi-Yau three-folds over weak Fano bases. In order to facilitate Wilson line breaking to the standard model group, we focus on elliptically fibered three-folds with a second section and a freely-acting involution. Specifically, we consider toric weak Fano surfaces as base manifolds and identify six such manifolds with the required properties. The requisite mathematical tools for the construction of line bundle models on these spaces, including the calculation of line bundle cohomology, are developed. A computer scan leads to more than 400 line bundle models with the right number of families and an SU(5) GUT group which could descend to standard-like models after taking the ℤ2 quotient. A common and surprising feature of these models is the presence of a large number of vector-like states.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP04(2018)087

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Theoretical Physics
Role:
Author


More from this funder
Funding agency for:
Lukas, A
Grant:
EP/N007158/1
More from this funder
Funding agency for:
Braun, A
Brodie, C
Lukas, A
Grant:
ST/L000474/1
EP/N007158/1


Publisher:
Springer Berlin Heidelberg
Journal:
Journal of High Energy Physics More from this journal
Volume:
2018
Issue:
4
Article number:
87
Publication date:
2018-04-16
Acceptance date:
2018-04-05
DOI:
ISSN:
1029-8479


Keywords:
Pubs id:
pubs:844551
UUID:
uuid:34638abf-198e-4e9c-a120-42cb0efc7842
Local pid:
pubs:844551
Source identifiers:
844551
Deposit date:
2018-04-27

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