Three-dimensional quantum black holes: a primer

TL;DR

This paper reviews the construction and properties of three-dimensional quantum black holes, emphasizing their holographic origins, quantum corrections, and thermodynamics, with implications for higher-dimensional theories and braneworld holography.

Contribution

It provides a comprehensive overview of quantum black holes in three dimensions, including their geometry, thermodynamics, and holographic applications, highlighting exact solutions with quantum corrections.

Findings

Quantum black holes are larger than the Planck length.

They are exact solutions to higher-derivative gravity coupled to quantum fields.

Applications include holography and higher-dimensional extensions.

Abstract

We review constructions of three-dimensional `quantum' black holes. Such spacetimes arise via holographic braneworlds and are exact solutions to an induced higher-derivative theory of gravity consistently coupled to a large$-c$ quantum field theory with an ultraviolet cutoff, accounting for all orders of semi-classical backreaction. Notably, such quantum-corrected black holes are much larger than the Planck length. We describe the geometry and horizon thermodynamics of a host of asymptotically (anti-) de Sitter and flat quantum black holes. A summary of higher-dimensional extensions is given. We survey multiple applications of quantum black holes and braneworld holography.