Flat Direction Dynamics in a Non-Topological Soliton-Dominated Universe

Abstract

In hybrid inflation and running mass inflation models it is possible that the inflaton field will fragment into non-topological solitons, resulting in a highly inhomogeneous post-inflation era prior to reheating. In supersymmetric models with a conventional homogeneous post-inflation era, the dynamics of flat direction scalars are determined by cH^{2} corrections to the mass squared terms, coming from the energy density of the Universe combined with Planck-scale suppressed interactions. Here we reconsider the cH^{2} corrections for a Universe dominated by inflatonic non-topological solitons. We show that the dynamics in this case are typically equivalent to the case c = 0, even in the vicinity of the non-topological solitons. Thus Affleck-Dine baryogenesis will proceed as in the original c = 0 Affleck-Dine scenario.