Phenomenological constraints on supersymmetric models with an anomalous U(1) flavor symmetry

We investigate supersymmetric models in which an anomalous U(1)X symmetry explains the Yukawa hierarchy, and the related DX-term plays a role in supersymmetry breaking. We use a bottom-up approach to model building. Phenomenological viability leads to a scenario with degenerate squark and slepton spectra and with heavy gauginos. Features of a Kähler potential that allows for such a scenario are described.