On Slow-roll Glueball Inflation from Holography

We investigate glueball inflation model-building via the methods of the gauge/gravity duality. For that purpose, we consider a certain 5d consistent truncation of type IIB supergravity. This theory admits a solution, whose metric is of the form of a $dS_4$ fibration over a fifth dimension. We find a new time-dependent deformation around this solution, which allows for a small $\eta$ parameter of the corresponding inflationary model. This resolves a problem with a previous solution that allowed only $\eta$ of order one and thus gave only an ultra-slow roll regime, but not regular slow roll.