Universal low temperature theory of charged black holes with AdS$_2$ horizons

Subir Sachdev

doi:10.1063/1.5092726

paper

Universal low temperature theory of charged black holes with AdS $_{2}$ horizons

arXiv:1902.04078 · doi:10.1063/1.5092726

Abstract

We consider the low temperature quantum theory of a charged black hole of zero temperature horizon radius $R_{h}$ , in a spacetime which is asymptotically AdS $_{D}$ ( $D > 3$ ) far from the horizon. At temperatures $T ≪ 1/ R_{h}$ , the near-horizon geometry is AdS $_{2}$ , 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.

24 pages, 2 figures; based on part of my lectures at the 36th Jerusalem Winter School at the Israel Institute for Advanced Studies

Universal low temperature theory of charged black holes with AdS $_{2}$ horizons

Abstract

References in corpus (5)

Cited by in corpus (53)

Universal low temperature theory of charged black holes with AdS2​ horizons

Abstract

References in corpus (5)

Cited by in corpus (53)

Universal low temperature theory of charged black holes with AdS $_{2}$ horizons