Quantum Black Holes as Holograms in AdS Braneworlds

TL;DR

This paper introduces a novel method using AdS/CFT correspondence to model quantum black holes as holographic duals of quantum-corrected black holes in lower dimensions, verified explicitly in 3 and 4 dimensions.

Contribution

It presents a new holographic framework for understanding quantum black holes as duals of quantum-corrected solutions in braneworld models, extending the classical AdS/CFT correspondence.

Findings

Quantum black holes on branes are dual to quantum-corrected black holes in lower dimensions.

Large mass states correspond to black holes with horizons that hide classical singularities.

In 4D, the bulk solution includes radiation, linking Hawking radiation to classical gravitational processes.

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 AdS$_{D+1}$ braneworld that solve the classical bulk equations are interpreted as duals of {\it 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 quantum-corrected 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 AdS$_5$ bulk.