Gauge/gravity correspondence in accelerating universe

TL;DR

This paper explores how certain gravity duals of gauge theories in de Sitter space are affected by cosmic acceleration, revealing that non-conformal theories exhibit sensitivity to the universe's expansion rate.

Contribution

It introduces time-dependent supergravity backgrounds as duals to gauge theories in de Sitter space, highlighting the impact of acceleration on IR singularities in non-conformal theories.

Findings

Gravity duals to non-conformal gauge theories depend on the Hubble parameter.

IR singularities are regulated by the universe's expansion in these models.

Two specific solutions demonstrate the effect in different gauge theories.

Abstract

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 in a supergravity. We show that only the gravitational duals to non-conformal 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 SU(N+M)xSU(N) supersymmetric gauge theory (related to fractional D3-branes on a singular conifold according to Klebanov et al), in 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.