Leptogenesis in inflaton decay

We study a leptogenesis via decays of heavy Majorana neutrinos produced non -thermally in inflation decays. We find that this scenario is fully consist ent with existing supersymmetric inflation models such as for topological o r for hybrid inflation and the Froggatt-Nielsen mechanism generating hierar chies in quark and lepton mass matrices. The reheating temperature T-R of i nflation may be taken as low as T-R similar or equal to 10(8) GeV to avoid the cosmological gravitino problem. (C) 1999 Published by Elsevier Science B.V. All rights reserved.