Compactification with Flux and Yukawa Hierarchies

Abstract

Flux compactifications of $M$ theory on certain $G_2$-manifolds have vacua in which all moduli are determined.These vacua have discrete parameters - the flux quanta. Small changes in these quanta produce small changes in the moduli and these can lead to large changes in the Yukawa couplings between Higgses, quarks and leptons. We argue that a large number of vacua exist with a wide variety of Yukawa hierarchies.

arXiv comment8 pages

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Cited by in corpus (7)

• M theory and Singularities of Exceptional Holonomy Manifolds
• Heterotic Moduli Stabilization with Fractional Chern-Simons Invariants
• Statistics of M theory Vacua
• Branches of the Landscape
• Random Polynomials and the Friendly Landscape
• Catastrophic Decays of Compactified Space-Times
• IIA moduli stabilization with badly broken supersymmetry