Holomorphic Yukawa Couplings for Complete Intersection Calabi-Yau Manifolds

Understand

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.