The Gravitino-Overproduction Problem in Inflaton Decay
  We show that the gravitino-overproduction problem is prevalent among inflation models in supergravity. An inflaton field generically acquires (effective) non-vanishing auxiliary field, if the Kahler potential is non-minimal. The inflaton field then decays into a pair of the gravitinos, thereby severely constraining many of the inflation models especially in the case of the gravity-mediated SUSY breaking. 
Masahiro Kawasaki, Fuminobu Takahashi, T. T. Yanagida