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D3-Brane Model Building and the Supertrace Rule.

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String theory D3-branes in flux compactifications yield soft supersymmetry breaking. However, mass relations limit model construction for physics beyond the standard model.

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Area of Science:

  • String Theory
  • High Energy Physics
  • Particle Physics

Background:

  • D3-branes in flux compactifications are used to generate standard-model-like Lagrangians.
  • Supersymmetry breaking in these models is soft, determined by metric and flux values.

Purpose of the Study:

  • To investigate the constraints imposed by string theory equations of motion on soft-supersymmetry-breaking Lagrangians derived from D3-branes in flux compactifications.
  • To determine if these constraints limit the construction of beyond-standard-model physics models.

Main Methods:

  • Analysis of the relations between soft couplings derived from string theory equations of motion for D3-branes in background fluxes.
  • Examination of one- and two-loop quantum corrections to these relations.

Main Results:

  • The study demonstrates that for D3-branes in background fluxes, the sums of the squares of bosonic and fermionic masses must be equal.
  • This equality is maintained even after considering one- and two-loop quantum corrections.

Conclusions:

  • The inherent mass relations in string theory D3-brane models pose a significant challenge for constructing computationally tractable models for physics beyond the standard model.
  • These findings highlight limitations in using this specific string theory framework for phenomenological model building.