Universal low temperature theory of charged black holes with AdS2 horizons

DOI10.1063/1.5092726zbMATH Open1414.83037arXiv1902.04078OpenAlexW3104238604WikidataQ112153960 ScholiaQ112153960MaRDI QIDQ5379494

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Publication date: 12 June 2019

Published in: (Search for Journal in Brave)

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 $Tll1/R_h$, 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.

Full work available at URL: https://arxiv.org/abs/1902.04078

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