AdS/CFT correspondence in a Friedmann-Lemaitre-Robertson-Walker brane

Abstract

According to the AdS/CFT correspondence conjecture, the Randall-Sundrum infinite braneworld is equivalent to four dimensional Einstein gravity with $\mathcal{N}=4$ super Yang-Mills fields at low energies. Here we derive a four dimensional effective equation of motion for tensor-type perturbations in two different pictures, and demonstrate their equivalence.

4 pages, some references are added

Cited by in corpus (2)

• Leading order corrections to the cosmological evolution of tensor perturbations in braneworld (Short version)
• Localized Kaluza-Klein Graviton and Cosmological Constant