  We examine the particle production via preheating at the end of inflation in
supersymmetric theories. The inflaton and matter scalars are now necessarily
complex fields, and their relevant interactions are restricted by holomorphy.
In general this leads to major changes both in the inflaton dynamics and in the
efficiency of the preheating process. In addition, supersymmetric models
generically contain multiple isolated vacua, raising the possibility of
non-thermal production of dangerous topological defects. Because of these
effects, the success of leptogenesis or WIMPZILLA production via preheating
depends much more sensitively on the detailed parameters in the inflaton sector
than previously thought.
