Abstract
The early universe went through a phase of accelerated expansion called inflation. After inflation the field driving inflation, the inflaton, decays and its decay products thermalise and the universe reheats. The thermal universe now contains all the known particles and dark matter particles. Gravitinos are supersymmetric particles that also are produced and their presence has very adverse cosmological consequences. Mechanisms to suppress gravitino production make it difficult to produce the observed matter-antimatter asymmetry of the universe. We discuss aspects of how this issue can be resolved involving a detailed understanding of how the universe reheats after inflation.
