Gravitino cosmology in supersymmetric warm inflation
  In supersymmetric models of warm inflation, the large temperature of the
radiation bath produced by the dissipative motion of the inflaton field may
induce a significant thermal abundance of potentially dangerous gravitinos.
While previous discussions of this problem focused on gravitino production only
at the end of warm inflation, similarly to conventional reheating scenarios, we
study the full evolution of the gravitino abundance during and after inflation
for simple monomial potentials, taking into account the enhanced gravitino and
possibly gaugino masses due to supersymmetry breaking during inflation and the
smooth transition into a radiation-dominated era. We find, on one hand, that
the continuous thermal production increases the gravitino yield, although, on
the other hand, `freeze-out' occurs at temperatures much lower than previously
estimated. Moreover, for sufficiently strong dissipation, which allows for
sub-planckian inflaton values, the lower radiation temperature significantly
alleviates and possibly solves the gravitino problem, with a baryon asymmetry
being nevertheless produced through dissipative effects. Our analysis may also
be relevant to standard reheating as an oscillating inflaton will also change
the gravitino mass, potentially modifying the produced gravitino yield.
