  Supersymmetric theories involving a spontaneously broken flavor symmetry can
solve the flavor-changing problem while having quark and lepton masses derived
from both $F$ and $D$ terms. As an example, a theory of leptons is constructed
in which holomorphy constrains the electron to be massless at tree level. The
electron flavor symmetries are broken by D terms, leading to flavor mixing in
the slepton mass matrices, which allows a radiative electron mass to be
generated by the gauge interactions of supersymmetric QED. Such a radiative
origin for the electron mass can be probed by searches for $\tau \rightarrow e
\gamma$, and could be verified or eliminated by measurements of slepton pair
production.
