On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes

Understand

We derive several no-go theorems in the context of massive type IIA string theory compactified to four dimensions in a way that, in the absence of fluxes, preserves N=1 supersymmetry.

• Our derivation is based on the dilaton, Kaehler and complex structure moduli dependence of the potential of the four-dimensional effective field theory, that is generated by the presence of D6-branes, O6-planes, RR-fluxes, NSNS 3-form flux, and geometric fluxes.
• To demonstrate the usefulness of our theorems, we apply them to the most commonly studied class of toroidal orientifolds.
• We show that for all but two of the models in this class the slow-roll parameter \epsilon is bounded from below by numbers of order unity as long as the fluxes satisfy the Bianchi identities, ruling out slow-roll inflation and even the existence of de Sitter extrema in these models.