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.

arXiv comment40 pages, Latex; v2: minor corrections, references added

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Cited by in corpus (7)

• The $R$-parity Violating Decays of Charginos and Neutralinos in the B-L MSSM
• Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models
• Matter Field Kahler Metric in Heterotic String Theory from Localisation
• Generalized Vanishing Theorems for Yukawa Couplings in Heterotic Compactifications
• SO(32) heterotic line bundle models
• Heterotic Line Bundle Models on Generalized Complete Intersection Calabi Yau Manifolds
• Yukawa Textures From Singular Spectral Data