Yukawa Unification in Heterotic String Theory

Abstract

We analyze Yukawa unification in the the context of $E_8\times E_8$ heterotic Calabi-Yau models which rely on breaking to a GUT theory via a non-flat gauge bundle and subsequent Wilson line breaking to the standard model. Our focus is on underlying GUT theories with gauge group $SU(5)$ or $SO(10)$. We provide a detailed analysis of the fact that, in contrast to traditional field theory GUTs, the underlying GUT symmetry of these models does not enforce Yukawa unification. Using this formalism, we present various scenarios where Yukawa unification can occur as a consequence of additional symmetries. These additional symmetries arise naturally in some heterotic constructions and we present an explicit heterotic line bundle model which realizes one of these scenarios.

30 pages, Latex

References in corpus (8)

• Stringy origin of non-Abelian discrete flavor symmetries
• Heterotic GUT and Standard Model Vacua from simply connected Calabi-Yau Manifolds
• Gauge Coupling Unification in F-theory GUT Models
• Heterotic Compactification, An Algorithmic Approach
• A Heterotic Standard Model with B-L Symmetry and a Stable Proton
• Hypercharge Flux in Heterotic Compactifications
• Holomorphic Yukawa Couplings in Heterotic String Theory
• A Heterotic QCD Axion

Cited by in corpus (4)

• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• On the Effective Field Theory of Heterotic Vacua
• Jumping Spectra and Vanishing Couplings in Heterotic Line Bundle Standard Models
• Yukawa Textures From Singular Spectral Data