Orateur
Description
Near-extremal black holes are known to contain strong quantum fluctuations in their near-horizon near-AdS2 throat region governed by an effective action that includes Schwarzian modes. These fluctuations lead to one-loop corrections in the gravitational path integral that are essential in understanding the thermodynamics of near-extremal black holes at low temperatures where they become more dominant that the semi-classical answer. We discuss the implications of these quantum fluctuations for near-extremal asymptotically AdS4 black branes in the context of the AdS/CFT correspondence. We note that at one-loop level there is a coupling of the shear gravitational fluctuations to one of the would-be zero modes. This coupling affects the retarded Green’s function in a way that leads to new and exciting low temperature behavior of transport coefficients (shear viscosity and conductivity).
