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M theory solution to the hierarchy problem.

Bobby Acharya1, Konstantin Bobkov, Gordon Kane

  • 1Abdus Salam ICTP, Strada Costiera 11, Trieste, Italy.

Physical Review Letters
|December 13, 2006
PubMed
Summary
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Strong gauge dynamics stabilize moduli in M theory compactifications, yielding stable vacua with broken supersymmetry and grand unification. This predicts TeV sparticle masses for future collider searches.

Area of Science:

  • Theoretical Physics
  • String Theory
  • M-Theory

Background:

  • Explaining the hierarchy problem is a major challenge in particle physics.
  • Strong gauge dynamics have been proposed as a mechanism for hierarchy explanation.
  • M-theory compactifications on G2 holonomy manifolds are a framework for model building.

Purpose of the Study:

  • To investigate the role of strong gauge dynamics in stabilizing moduli.
  • To explore the consequences of such stabilization for M-theory compactifications.
  • To identify phenomenological predictions for particle physics.

Main Methods:

  • Analysis of M-theory compactifications on manifolds with G2 holonomy.
  • Investigating the effects of strong gauge dynamics on moduli stabilization.

Related Experiment Videos

  • Exploring the resulting vacuum structure and supersymmetry breaking.
  • Main Results:

    • Strong gauge dynamics stabilize moduli in M-theory compactifications without fluxes.
    • This leads to stable vacua with softly broken supersymmetry.
    • The model predicts grand unification and a distinctive spectrum of TeV and sub-TeV sparticle masses.

    Conclusions:

    • Strong gauge dynamics provide a viable mechanism for moduli stabilization in M-theory.
    • The resulting models offer a path towards understanding the hierarchy problem.
    • The predicted sparticle spectrum could be accessible at future colliders.