Authors: R N Caldeira Costa
Publish Date: 2012/11/09
Volume: 2012, Issue: 11, Pages: 46-
Abstract
In this work we elaborate on an extension of the AdS/CFT framework to a subclass of gravitational theories with vanishing cosmological constant By building on earlier ideas we construct a correspondence between Ricciflat spacetimes admitting asymptotically hyperbolic hypersurfaces and a family of conformal field theories on a codimension two manifold at null infinity By truncating the gravity theory to the pure gravitational sector we find the most general spacetime asymptotics renormalize the gravitational action reproduce the holographic stress tensors and Ward identities of the family of CFTs and show how the asymptotics is mapped to and reconstructed from conformal field theory data In even dimensions the holographic Weyl anomalies identify the bulk time coordinate with the spectrum of central charges with characteristic length the bulk Planck length Consistency with locality in the bulk time direction requires a notion of locality in this spectrum
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