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Dynamical supersymmetry breaking in models with a Green-Schwartz mechanism


We consider supersymmetry breaking in theories with gaugino condensation in the presence of an anomalous $U(1)$ symmetry with anomaly cancellation by the Green-Schwarz mechanism. In these models, a Fayet-Iliopoulos $D$-term can give important contributions to the soft supersymmetry-breaking scalar masses. Most discussions of this possibility have ignored the dilaton field. We argue that this is not appropriate in general, and show that the $F$-term contributions to the soft breaking terms are comparable to or much larger than the $D$-term contributions, depending on how the dilaton is stabilized. We discuss phenomenological implications of these results.

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