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Supersymmetric standard model from the heterotic string.

Wilfried Buchmüller1, Koichi Hamaguchi, Oleg Lebedev

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Physical Review Letters
|April 12, 2006
PubMed
Summary

We present an orbifold compactification of the E8xE8 heterotic string theory. This model generates the Standard Model gauge group and particle content, with suppressed Yukawa couplings for most particles.

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Area of Science:

  • String Theory
  • High Energy Physics
  • Particle Physics

Background:

  • Heterotic string theory compactifications are crucial for deriving realistic particle physics models.
  • Orbifold compactifications offer a pathway to break large gauge groups to the Standard Model.
  • Understanding the resulting particle content and couplings is key to testing string theory.

Purpose of the Study:

  • To construct a specific orbifold compactification of the E8xE8 heterotic string theory.
  • To investigate if this construction yields the Standard Model gauge group and particle content.
  • To analyze the properties of the resulting model, including Yukawa couplings and low-energy exotic states.

Main Methods:

  • Performing an orbifold compactification of the E8xE8 heterotic string theory.
  • Analyzing the resulting gauge group and matter representations.
  • Investigating the structure of Higgs fields and Yukawa couplings.

Main Results:

  • The compactification successfully generates the Standard Model gauge group and particle content.
  • Quarks and leptons appear as three SO(10) 16-plets; Higgs fields are not complete SO(10) multiplets.
  • The top quark Yukawa coupling is naturally of the order of gauge couplings, while others are suppressed.
  • Generic vacua are free of exotic low-energy states and consistent with gauge coupling unification.

Conclusions:

  • Orbifold compactification of the E8xE8 heterotic string provides a viable route to the Standard Model.
  • The model exhibits suppressed Yukawa couplings for most fermions, with the top quark coupling arising from gauge interactions.
  • The model's consistency with gauge coupling unification and absence of exotic states in generic vacua are significant findings.