Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds

Stefan Blesneag, Evgeny I. Buchbinder, Andre Lukas

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Article number119
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 27 Jan 2017


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