For cosmology we need General Relativity. Supergravity is the next natural step after General Relativity. Superstring theory is believed to be the most fundamental theory we know. However, string theory has an emergent concept of space-time. To use it in the context of the 4-dimensional General Relativity and cosmology requires many intermediate steps. If in these steps some amount of supersymmetry, maximal or minimal or intermediate, is preserved, one finds consequences for cosmology, potentially supportable or falsifiable by observations.