Microscopic entropy of black holes and AdS_2 quantum gravity

TL;DR

This paper reviews the features of AdS_2 quantum gravity with different dilaton configurations and explores how these relate to the microscopic entropy of black holes, highlighting the role of the underlying conformal field theory.

Contribution

It provides a comparative analysis of AdS_2 QG with linear and constant dilaton fields and connects these to black hole entropy calculations.

Findings

AdS_2 QG with linear dilaton has distinct features from constant dilaton case.

The 3D charged BTZ black hole interpolates between different AdS_2 QG models.

Applications to black hole entropy computation are discussed.

Abstract

Quantum gravity (QG) on two-dimensional anti-de Sitter spacetime (AdS_2) takes always the form of a chiral conformal field theory (CFT). However, the actual content of the CFT, and in particular its central charge, depends on the background values of the dilaton and Maxwell field. We review the main features of AdS_2 QG with linear dilaton and of AdS_2 QG with constant dilaton and Maxwell field. We also show that the 3D charged Banados-Teitelboim-Zanelli black hole interpolates between these two versions of AdS_2 QG. Applications to the computation of the microscopic entropy of black holes are also discussed.