Anomalous D term, dynamical supersymmetry breaking and dynamical gauge couplings

Abstract We analyze the structure of the vacuum and supersymmetry breaking pattern in Fayet-Iliopoulos models with dynamical gauge coupling and Planck-scale value of the FI parameter. We show that in this class of models supersymmetry is generically broken, but the mere presence of the D-term is not sufficient to stop the running away of the modulus responsible for the value of the gauge coupling — the dilaton. To stabilize the dilaton, one has to include an additional dilaton-dependent part in the superpotential. The presence of a large D-term gives rise to the mixed dilaton/D-term dominated scenarios of susy breaking, which allow horizontal hierarchy generation. Models that can serve as secluded sectors in gauge mediation scenarios are discussed. It is shown that when when the FI parameter and the gauge coupling are dynamical variables, the D-term dominated Universe does not allow for an inflationary period.