SUSY breaking with D term and gauge mediation

We classify supersymmetry breaking models with the F- and U(1) D-term potentials. In addition to the classification in our previous paper [1], we consider the other class where the F-term potential shows runaway behaviors. It is shown that the runaway in the F-term potential can be uplifted by the D-term effect, and supersymmetry breaking is realized. The vacuum in this class has no pseudomoduli and is useful for gauge mediation because gaugino masses are generated at the one-loop order. We provide such an example without the Fayet-Iliopoulous term.