Dynamical Supersymmetry Breaking in Standard-like Models with Intersecting D6-branes

TL;DR

This paper explores how dynamical supersymmetry breaking occurs in a string-inspired Standard-like model with intersecting D6-branes, using gaugino condensation in a confining gauge sector to stabilize moduli and break supersymmetry.

Contribution

It demonstrates a concrete mechanism for supersymmetry breaking via gaugino condensation in a specific intersecting D6-brane model, including moduli stabilization and potential analysis.

Findings

Supersymmetry is broken at the minima of the supergravity potential.

Two moduli are stabilized, fixing gauge couplings at the string scale.

The minima have a negative cosmological constant.

Abstract

We address dynamical supersymmetry breaking within a N=1 supersymmetric Standard-like Model based on a Z_2 x Z_2 Type IIA orientifold with intersecting D6-branes. The model possesses an additional, confining gauge sector with the USp(2)_A x USp(2)_B x USp(4) gauge group, where the gaugino condensation mechanism allows for the breaking of supersymmetry and stabilizes moduli. We derive the leading contribution to the non-perturbative effective superpotential and determine numerically the minima of the supergravity potential. These minima break supersymmetry and fix two undetermined moduli, which in turn completely specify the gauge couplings at the string scale. For this specific construction the minima have a negative cosmological constant. We expect that for other supersymmetric Standard-like models with intersecting D6-branes, which also possess confining gauge sectors, the supersymmetry breaking mechanism would have qualitatively similar features.