  The Witten spinorial argument has been adapted in several works over the
years to prove positivity of mass in the asymptotically AdS and asymptotically
hyperbolic settings in arbitrary dimensions. In this paper we prove a scalar
curvature rigidity result and a positive mass theorem for asymptotically
hyperbolic manifolds that do not require a spin assumption. The positive mass
theorem is reduced to the rigidity case by a deformation construction near the
conformal boundary. The proof of the rigidity result is based on a study of
minimizers of the BPS brane action.
