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 $D_{X}$-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 K\"ahler potential that allows for such a scenario are described.