  Recently the HEAT balloon experiment has confirmed an excess of high-energy
positrons in cosmic rays. They could come from annihilation of dark matter in
the galactic halo. We discuss expectations for the positron signal in cosmic
rays from the lightest superpartner. The simplest interpretations are
incompatible with the size and shape of the excess if the relic LSPs evolved
from thermal equilbrium. Non-thermal histories can describe a sufficient
positron rate. Reproducing the energy spectrum is more challenging, but perhaps
possible. The resulting light superpartner spectrum is compatible with collider
physics, the muon anomalous magnetic moment, Z-pole electroweak data, and other
dark matter searches.
