An M theory Solution to the Hierarchy Problem

Abstract

An old idea for explaining the hierarchy is strong gauge dynamics. We show that such dynamics {\it also} stabilises the moduli in $M$ theory compactifications on manifolds of $G_2$-holonomy {\it without} fluxes. This gives stable vacua with softly broken susy, grand unification and a distinctive spectrum of TeV and sub-TeV sparticle masses.

4 pages, no figures. Minor typos corrected, References Added

References in corpus (17)

• de Sitter Vacua in String Theory
• Soft Supersymmetry Breaking in KKLT Flux Compactification
• Building a Better Racetrack
• Type IIA Moduli Stabilization
• A Solution to the Supersymmetric Fine-Tuning Problem within the MSSM
• De Sitter Vacua from Matter Superpotentials
• M theory and Singularities of Exceptional Holonomy Manifolds
• Heterotic Moduli Stabilization with Fractional Chern-Simons Invariants
• Statistics of M theory Vacua
• Unification Scale, Proton Decay, And Manifolds Of G_2 Holonomy
• Gaugino and Scalar Masses in the Landscape
• Prospects for Mirage Mediation
• Supersymmetry and Stability of Flux Vacua
• Collider and Dark Matter Searches in Models with Mixed Modulus-Anomaly Mediated SUSY Breaking
• Moduli-mixing racetrack model
• On supersymmetric Minkowski vacua in IIB orientifolds
• Suppressing Proton Decay in Theories with Localised Fermions

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