Glueball Inflation and Gauge/Gravity Duality

We summarize our work on building glueball inflation models with the methods of the gauge/gravity duality. We review the relevant five-dimensional consistent truncation of type IIB supergravity. We consider solutions of this effective theory, whose metric has the form of a $dS_4$ foliation over a radial direction. By turning on small (in an appropriate sense) time-dependent deformations around these solutions, one can build models of glueball inflation. We discuss a particular deformed solution, describing an ultra-slow roll inflationary regime.Comment: 9 pages, contribution to the proceedings of the 11th international workshop "Lie Theory and its Applications in Physics", Varna, 201

Flux Vacua Attractors and Generalized Compactifications

We investigate whether there are attractor equations for N=1 flux vacua in generalized compactifications. We fill a gap in the existing literature by verifying analytically that the recently proposed susy attractors, for type IIB CY(3) orientifold compactifications with flux, do give supersymmetric minima of the relevant scalar potential. Furthermore, our considerations clarify various confusions about existing proposals for generalization of the flux vacua attractors to non-K\"{a}hler compactifications. We explore different possibilities for generalization and find attractor equations for N=1 Minkowski vacua only both for the heterotic string on SU(3) structure manifolds and for type IIA/B on SU(3)xSU(3) structure spaces.Comment: 39 pages; small improvements and clarifications, references added, journal versio

A Gravity Dual of Ultra-slow Roll Inflation

We study time-dependent deformations of a certain class of backgrounds in type IIB supergravity. These backgrounds are solutions of a five-dimensional consistent truncation, relevant for gauge/gravity duality, which have the form of dS_4 foliations over a fifth (radial) direction. We investigate time-dependent deformations of those solutions in the search for gravitational duals of models of glueball inflation. A particular starting ansatz enables us to find a class of analytical solutions, corresponding to an ultra-slow roll inflationary regime. This regime may play a role in understanding the low l anomaly in the power spectrum of the CMB.Comment: 27 pages; explanations and references added, journal versio