  The success of primordial nucleosynthesis imposes stringent bounds on the
abundance of gravitational relics. This is particularly true for gravitinos,
which - for models with gravitationally mediated supersymmetry breaking - are
expected to have a mass below the TeV scale and thus to decay only after
nucleosynthesis has concluded. We discuss the nonthermal production of
gravitinos in models with several chiral fields, to be able to distinguish the
mechanisms of supersymmetry breaking and inflation. Our explicit calculations
show that the superpartner of the inflaton can be significantly generated.
Gravitinos can be produced both at the preheating stage and at the subsequent
inflaton/inflatino decay. We verify that this production is well below the
nucleosynthesis bound, provided the sector responsible for the present
supersymmetry breakdown is weakly (for example, only gravitationally) coupled
to the one which drove inflation.
