Two-dimensional quantum black holes, branes in Banados-Teitelboim-Zanelli spacetime, and holography

We solve semiclassical Einstein equations in two dimensions with a massive source and we find a static, thermodynamically stable, quantum black hole solution in the Hartle-Hawking vacuum state. We then study the black hole geometry generated by a boundary mass sitting on a nonzero tension 1-brane embedded in a three-dimensional Banados-Teitelboim-Zanelli (BTZ) black hole. We show that the two geometries coincide and we extract, using holographic relations, information about the conformal field theory (CFT) living on the 1-brane. Finally, we show that the quantum black hole has the same temperature of the bulk BTZ, as expected from the holographic principle