  We discuss a recently proposed scenario where the sparticle masses are purely
mediated by gravity through the superconformal anomaly. This scenario elegantly
evades the supersymmetric flavor problem since soft masses, like the anomaly,
are not directly sensitive to ultraviolet physics. However, its minimal
incarnation fails by predicting tachyonic sleptons. We study the conditions for
decoupling of heavy threshold effects and how these conditions are evaded. We
use these results to build a realistic class of models where the non-decoupling
effects of ultra-heavy vectorlike matter fields eliminate the tachyons. These
models have a flavor invariant superspectrum similar to that of gauge mediated
models. They, however, differ in several aspects: the gaugino masses are not
unified, the colored sparticles are not much heavier than the others, the
mu-problem is less severe and the gravitino mass is well above the weak scale,
m_{3/2} \sim 10 TeV. We also show that in models where an R-symmetry can be
gauged, the associated D-term gives rise to soft terms that are similarly
insensitive to the ultraviolet.
