Einstein gravity from Conformal Gravity in 6D

We extend Maldacena's argument, namely, obtaining Einstein gravity from Conformal Gravity, to six dimensional manifolds. The proof relies on a particular combination of conformal (and topological) invariants, which makes manifest the fact that 6D Gravity admits an sector. Then, by taking generalized Neumann boundary conditions, action reduces renormalized Einstein-AdS action. These restrictions are implied vanishing traceless Ricci tensor, is defining property any spacetime. equivalence between and renders trivial solutions Critical at bicritical point.