De Sitter Space in Gauge/Gravity Duality

TL;DR

This paper explores gauge/gravity duality in de Sitter space by analyzing a 5d supergravity truncation, finding solutions with dS_4 spacetime, and discussing implications for gravity duals of inflationary models.

Contribution

It demonstrates the existence of dS_4 solutions in a 5d supergravity model and clarifies the role of dependent equations in finding such solutions, advancing the understanding of gauge/gravity duality in de Sitter space.

Findings

Found solutions with dS_4 spacetime in 5d supergravity

Proved a key equation dependency affecting solution existence

Discussed implications for gravity duals of inflation

Abstract

We investigate gauge/gravity duality for gauge theories in de Sitter space. More precisely, we study a five-dimensional consistent truncation of type IIB supergravity, which encompasses a wide variety of gravity duals of strongly coupled gauge theories, including the Maldacena-Nunez solution and its walking deformations. We find several solutions of the 5d theory with dS_4 spacetime and nontrivial profiles for (some of) the scalars along the fifth (radial) direction. In the process, we prove that one of the equations of motion becomes dependent on the others, for nontrivial warp factor. This dependence reduces the number of field equations and, thus, turns out to be crucial for the existence of solutions with (A)dS_4 spacetime. Finally, we comment on the implications of our dS_4 solutions for building gravity duals of Glueball Inflation.