  When supergravity (SUGRA) is spontaneously broken, it is well known that
anomaly mediation generates sparticle soft masses proportional to the gravitino
mass. Recently, we showed that one-loop anomaly-mediated gaugino masses should
be associated with unbroken supersymmetry (SUSY). This counterintuitive result
arises because the underlying symmetry structure of (broken) SUGRA in flat
space is in fact (unbroken) SUSY in anti-de Sitter (AdS) space. When quantum
corrections are regulated in a way that preserves SUGRA, the underlying AdS
curvature (proportional to the gravitino mass) necessarily appears in the
regulated action, yielding soft masses without corresponding goldstino
couplings. In this paper, we extend our analysis of anomaly mediation to
sfermion soft masses. Already at tree-level we encounter a number of surprises,
including the fact that zero soft masses correspond to broken (AdS) SUSY. At
one-loop, we explain how anomaly mediation appears when regulating SUGRA in a
way that preserves super-Weyl invariance. We find that recent claims in the
literature about the non-existence of anomaly mediation were based on a
Wilsonian effective action with residual gauge dependence, and the
gauge-invariant 1PI effective action contains the expected anomaly-mediated
spectrum. Finally, we calculate the sfermion spectrum to all orders, and use
supertrace relations to derive the familiar two-loop soft masses from minimal
anomaly mediation, as well as unfamiliar tree-level and one-loop goldstino
couplings consistent with renormalization group invariance.
