Holomorphic Yukawa Couplings in Heterotic String Theory

Abstract

We develop techniques, based on differential geometry, to compute holomorphic Yukawa couplings for heterotic line bundle models on Calabi-Yau manifolds defined as complete intersections in projective spaces. It is shown explicitly how these techniques relate to algebraic methods for computing holomorphic Yukawa couplings. We apply our methods to various examples and evaluate the holomorphic Yukawa couplings explicitly as functions of the complex structure moduli. It is shown that the rank of the Yukawa matrix can decrease at specific loci in complex structure moduli space. In particular, we compute the up Yukawa coupling and the singlet-Higgs-lepton trilinear coupling in the heterotic standard model described in arXiv:1404.2767

53 pages, Latex; typos corrected

References in corpus (4)

• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• Heterotic Compactification, An Algorithmic Approach
• Tri-linear Couplings in an Heterotic Minimal Supersymmetric Standard Model
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• Matter Field Kahler Metric in Heterotic String Theory from Localisation
• Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models
• SO(32) heterotic line bundle models
• Generalized Vanishing Theorems for Yukawa Couplings in Heterotic Compactifications
• Heterotic Line Bundle Models on Generalized Complete Intersection Calabi Yau Manifolds
• Yukawa Unification in Heterotic String Theory
• New Evidence for (0,2) Target Space Duality
• Gauged supergravities from M-theory reductions
• Yukawa Textures From Singular Spectral Data