Gauge-gravity correspondence in an accelerating universe

We discuss time-dependent backgrounds of type-IIB supergravity realizing gravitation duals of gauge theories formulated in de Sitter space-time as a tool of embedding de Sitter space in a supergravity. We show that only the gravitational duals to nonconformal gauge theories are sensitive to a specific value of a Hubble parameter. We consider two nontrivial solutions of this type: a gravity dual to six-dimensional (1, 1) little string theory, and to a four-dimensional cascading $\mathrm{SU}\mathrm{}(N+M)\mathrm{}\times \mathrm{SU}\mathrm{}\left(N\right)\mathrm{}$ supersymmetric gauge theory (related to fractional D3-branes on a singular conifold according to Klebanov and co-workers), in an accelerating universe. In both cases we argue that the IR singularity of the geometry is regulated by the expansion of the gauge theory background space-time.