Time Dependent Cosmologies and Their Duals

TL;DR

This paper constructs time-dependent supergravity solutions that are dual to N=4 gauge theories with varying couplings, exploring their singularities and supersymmetry properties.

Contribution

It introduces a new family of time-dependent IIB supergravity solutions as deformations of AdS_5 x S^5 with dual gauge theory interpretations.

Findings

Solutions preserve 8 supersymmetries.

Some solutions exhibit singularities.

Dual gauge theories have time-dependent metrics and couplings.

Abstract

We construct a family of solutions in IIB supergravity theory. These are time dependent or depend on a light-like coordinate and can be thought of as deformations of AdS_5 x S^5. Several of the solutions have singularities. The light-like solutions preserve 8 supersymmetries. We argue that these solutions are dual to the N=4 gauge theory in a 3+1 dimensional spacetime with a metric and a gauge coupling that is varying with time or the light-like direction respectively. This identification allows us to map the question of singularity resolution to the dual gauge theory.