Conformal Gravity from AdS/CFT mechanism

TL;DR

This paper derives a four-dimensional conformal gravity theory with a scalar field from five-dimensional AdS Einstein gravity, confirming previous results through explicit calculation of boundary induced gravity and radial diffeomorphism dynamics.

Contribution

It provides an explicit derivation of boundary conformal gravity from AdS/CFT, including the scalar field and radial diffeomorphism action, confirming earlier findings with a new approach.

Findings

Induced boundary theory is 4D conformal gravity plus scalar field

Explicit calculation of boundary action confirms previous results

Demonstrates the role of radial diffeomorphisms in boundary dynamics

Abstract

We explicitly calculate the induced gravity theory at the boundary of an asymptotically Anti-de Sitter five dimensional Einstein gravity. We also display the action that encodes the dynamics of radial diffeomorphisms. It is found that the induced theory is a four dimensional conformal gravity plus a scalar field. This calculation confirms some previous results found by a different approach.