SUPERSYMMETRIC INFLATION WITH CONSTRAINTS ON SUPERHEAVY NEUTRINO MASSES

We consider a supersymmetric model of inflation in which the primordia l density fluctuations are nearly scale invariant (spectral index n ap proximate to 0.98) with an amplitude proportional to (M/M-Planck)(2), where M similar to 10(16) GeV denotes the scale of the gauge symmetry breaking associated with inflation. The 60 or so e foldings take place when all relevant scales are close to M, which helps suppress supergr avity corrections. The gravitino and baryogenesis (via leptogenesis) c onstraints help determine the two heaviest right-handed neutrino masse s to be approximate to 2x10(13) GeV and 6x10(9) GeV.