Microscopic entropy of black holes and AdS_2 quantum gravity

Understand

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.