Quantum black holes as holograms in AdS braneworlds

Abstract

We propose a new approach for using the AdS/CFT correspondence to study quantum black hole physics. The black holes on a brane in an AdSD+1 braneworld that solve the classical bulk equations are interpreted as duals of quantum-corrected D-dimensional black holes, rather than classical ones, of a conformal field theory coupled to gravity. We check this explicitly in D = 3 and D = 4. In D = 3 we reinterpret the existing exact solutions on a flat membrane as states of the dual 2 + 1 CFT. We show that states with a sufficiently large mass really are 2 + 1 black holes where the quantum corrections dress the classical conical singularity with a horizon and censor it from the outside. On a negatively curved membrane, we reinterpret the classical bulk solutions as quantumcorrected BTZ black holes. In D = 4 we argue that the bulk solution for the brane black hole should include a radiation component in order to describe a quantum-corrected black hole in the 3 + 1 dual. Hawking radiation of the conformal field is then dual to classical gravitational bremsstrahlung in the AdS5 bulk. © SISSA/ISAS 2002.