Séminaire de Physique ThéoriqueHolographic reconstruction and renormalization in asymptotically Ricci-flat spacetimes
Ricardo Caldeira E Caleiro Da Costa (University of Amsterdam)
Thursday 21 June 2012 14:00 - Tours - Salle 1180 (Bât E2)
In this talk we will review the approach of Solodukhin and de Boer towards a holographic description of flat space and generalise it to a subclass of gravitational theories with vanishing cosmological constant. In particular, we will show that it is possible to construct a holographic correspondence between a subclass of Ricci-flat spacetimes and a family of conformal field theories at null infinity. From the asymptotic structure of these spacetimes, we will reproduce the holographic stress tensors and Ward identities of such family and show how the asymptotics can be holographically reconstructed. From the holographic Weyl anomalies we will show that the spectrum of central charges is mapped to bulk time coordinate in a gauge invariant way and that locality in the time direction requires a notion of locality in this spectrum.