Gauge-gravity correspondence in de Sitter braneworld

TL;DR

This paper explores a 5d gauged supergravity model with two scalars, leading to an accelerating braneworld solution that breaks supersymmetry and connects to super Yang-Mills theory, analyzing stability and gauge correspondence.

Contribution

It presents a new accelerating braneworld solution in a solvable 5d supergravity model with broken supersymmetry, linked to dual gauge theory deformations.

Findings

Derived an accelerating braneworld solution from 5d supergravity.

Connected the solution to deformations of super Yang-Mills theory.

Analyzed the stability and gauge theory correspondence of the solution.

Abstract

We study the braneworld solutions based on a solvable model of 5d gauged supergravity with two scalars of conformal dimension three, which correspond to bilinear operators of fermions in the dual $\mathcal{N}=4$ super Yang-Mills theory on the boundary. An accelerating braneworld solution is obtained when both scalars are taken as the form of deformations of the super Yang-Mills theory and the bulk supersymmetry is broken. This solution is smoothly connected to the Poincare invariant brane in the limit of vanishing cosmological constant. The stability of this brane-solution and the correspondence to the gauge theory are addressed.