  Supersymmetric models are typically taken to have $\mu$ parameter and all
soft supersymmetry breaking parameters at or near the weak scale. We point out
that a small window of allowed values exists in which $\mu$ and the electroweak
gaugino masses are in the few GeV range. Such models naturally solve the
supersymmetry $CP$ problem, can reduce the discrepancy in $R_b$, and suppress
proton decay. In this window two neutralinos are in the few GeV range, two are
roughly degenerate with the $Z^0$, and both charginos are roughly degenerate
with the $W^{\pm}$ bosons. Such a signature cannot escape detection at LEP II.
Models that fall in this window automatically arise from renormalizable hidden
sectors in which hidden sector singlets participate only radiatively in
supersymmetry breaking.
