Gauge-gravity correspondence in a de Sitter braneworld

We study the braneworld solutions based on a solvable model of 5D gauged supergravity with two scalars of conformal dimension 3, 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 Poincar\'e invariant brane in the limit of a vanishing cosmological constant. The stability of this brane solution and the correspondence to the gauge theory are addressed.