Comments on cosmological RG flows

We study cosmological backgrounds from the point of vue of the dS/CFT correspondence and its renormalization group flow extension. We focus on the case where gravity is coupled to a single scalar with a potential. Depending on the latter, the scalar can drive both inflation and the accelerated expansion (dS) phase in the far future. We also comment on quintessence scenarios, and flows familiar from the AdS/CFT correspondence. We finally make a tentative embedding of this discussion in string theory where the scalar is the dilaton and the potential is generated at the perturbative level.