Dynamical supersymmetry breaking in standardlike models with intersecting D6-branes

Abstract

We address dynamical supersymmetry breaking within an $N=1$ supersymmetric standardlike model based on a ${Z}_{2}\ifmmode\times\else\texttimes\fi{}{Z}_{2}$ type IIA orientifold with intersecting D6-branes. The model possesses an additional, confining gauge sector with the ${\mathrm{USp}(2)}_{A}\ifmmode\times\else\texttimes\fi{}{\mathrm{USp}(2)}_{B}\ifmmode\times\else\texttimes\fi{}\mathrm{USp}(4)$ gauge group, where the gaugino condensation mechanism allows for the breaking of supersymmetry and stabilizes moduli. We derive the leading contribution to the nonperturbative 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 standardlike models with intersecting D6-branes, which also possess confining gauge sectors, the supersymmetry breaking mechanism would have qualitatively similar features.