COSMOLOGICAL CONSTRAINTS ON PERTURBATIVE SUPERSYMMETRY BREAKING

We discuss the cosmology of string models with perturbative supersymme try breaking at a scale of O(TeV). Such models exhibit Kaluza-Klein li ke spectra and contain unstable massive gravitinos/gravitons. We find that considerations of primordial nucleosynthesis constrain the maximu m temperature following inflation to be not much larger than the super symmetry breaking scale. This imposes conflicting requirements on the scalar field driving inflation, making it rather difficult to construc t a consistent cosmological history for such models.