An M theory Solution to the Hierarchy Problem

TL;DR

This paper demonstrates that strong gauge dynamics in M theory compactifications on G2-holonomy manifolds can stabilize moduli without fluxes, leading to stable vacua with softly broken supersymmetry and distinctive TeV-scale particle spectra.

Contribution

It introduces a novel mechanism where strong gauge dynamics stabilizes moduli in M theory without fluxes, resulting in realistic vacua with specific supersymmetry breaking and particle spectra.

Findings

Stable vacua with softly broken supersymmetry achieved

Distinctive spectrum of TeV and sub-TeV sparticle masses

Moduli stabilization without fluxes in M theory

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.