Inflation, reheating, leptogenesis and bounds on soft supersymmetry
  breaking parameters
  In the no-scale supergravity with Type-I Seesaw model of Non-minimal
supersymmetric standard model (NMSSM), we have analysed inflation, reheating
and leptogenesis. A no-scale supergravity realization of Starobinsky model of
inflation in simple Wess-Zumino model have been shown earlier by Ellis et al.
Here we show a no-scale supergravity realization of Starobinsky model of
inflation in Type-I Seesaw framework of NMSSM. In this framework an appropriate
choice of no-scale K\"ahler potential results in Starobinsky like plateau
inflation along a Higgs-sneutrino $D$-flat direction consistent with the CMB
observations. In leptogenesis, the soft-breaking trilinear and bilinear terms
play important role. Using conditions for non-thermal contribution to $CP$
asymmetry and successful leptogenesis together with the appropriate reheating
at the end of inflation, we have obtained important constraints on the soft
supersymmetry breaking parameters.
