To summarize, when the curvaton does not dominate while decaying, then they can generate significant non-Gaussian perturbations and isocurvature fluctuations, however, the results are model dependent, as it depends on the nature of the inflaton decay products and the choice of the flat direction. One of the prime observable signature of a curvaton mechanism is to generate non- Gaussian perturbations of order f$_{NL}$ ∼ O (10 − 100). However as we have seen earlier, in most of the models of inflaton and curvaton, the non-Gaussian perturbations are constrained by the isocurvature perturbations. Models where the curvaton dominates while decaying will generate no large non-Gaussianity. For a realistic A -term curvaton model, u$_{1}$d$_{2}$d$_{3}$ will never generate large non-Gaussianity. The flat direction decays in couple of oscillations and its energy density dominate while decaying. On the other hand, models without A -term curvaton can potentially generate large non- Gaussianity, as many of the directions, n = 3 , 4 , 6 , 7, do not seem to dominate the energy density while decaying. There are however non-trivial constraints on such models in order to avoid large isocurvature perturbations. • Inflaton decay products must create the MSSM degrees of freedom. There should not be any trace of hidden degrees of freedom which do not thermalize with that of the MSSM. Otherwise the inflaton perturbations must be sub-dominant, i.e. ( δρ/ρ )$_{inf}$ ≪ 10 − 5 during inflation [831, 862]. • Provided the curvaton perturbations and the inflaton perturbations are of the same order, the curvaton must not create large baryon asymmetry and/or dark matter through its decay. In principle an absolute gauge singlet moduli curvaton can decay into gravitino or axino LSP. In such a case a stringent constraint on reheat temperature applies [313, 315, 814–816]. In presence of non-renormalizable potential [838, 865], the f$_{NL}$ and g$_{NL}$ parameters are 219 6. Curvaton and non-Gaussianity