Universal low temperature theory of charged black holes with AdS2 horizons

We consider the low temperature quantum theory of a charged black hole of zero temperature horizon radius Rh in a spacetime which is asymptotically AdSD (D > 3) far from the horizon. At temperatures T ≪ 1/Rh, the near-horizon geometry is AdS2, and the black hole is described by a universal 0+1 dimensional effective quantum theory of time diffeomorphisms with a Schwarzian action and a phase mode conjugate to the U(1) charge. We obtain this universal 0+1 dimensional effective theory starting from the full D-dimensional Einstein-Maxwell theory, while keeping quantitative track of the couplings. The couplings of the effective theory are found to be in agreement with those expected from the thermodynamics of the D-dimensional black hole.