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Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds

Abstract:
We develop methods to compute holomorphic Yukawa couplings for heterotic compactifications on complete intersection Calabi-Yau manifolds, generalising results of an earlier paper for Calabi-Yau hypersurfaces. Our methods are based on constructing the required bundle-valued forms explicitly and evaluating the relevant integrals over the projective ambient space. We also show how our approach relates to an earlier, algebraic one to calculate the holomorphic Yukawa couplings. A vanishing theorem, which we prove, implies that certain Yukawa couplings allowed by low-energy symmetries are zero due to topological reasons. To illustrate our methods, we calculate Yukawa couplings for SU(5)-based standard models on a co-dimension two complete intersection manifold.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/JHEP01(2017)119

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Oxford college:
Balliol College
Role:
Author


Publisher:
Springer
Journal:
Journal of High Energy Physics More from this journal
Volume:
2017
Issue:
119
Publication date:
2017-01-01
Acceptance date:
2017-01-24
DOI:
ISSN:
1126-6708 and 1029-8479


Keywords:
Pubs id:
pubs:680344
UUID:
uuid:1786083a-3cad-49c7-a65a-18b894f8c4ee
Local pid:
pubs:680344
Source identifiers:
680344
Deposit date:
2017-02-20

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