Microscopic entropy of black holes and AdS2 quantum gravity

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 AdS2 QG with linear dilaton and of AdS2 QG with constant dilaton and Maxwell field. We also show that the 3D charged Bañados-Teitelboim-Zanelli black hole interpolates between these two versions of AdS2 QG. Applications to the computation of the microscopic entropy of black holes are also discussed. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution- NonCommercial-ShareAlike Licence.