Hologram of a pure state black hole

Abstract

In this paper we extend the HKLL holographic smearing function method to reconstruct (quasi)local AdS bulk scalar observables in the background of a large AdS black hole formed by null shell collapse (a "pure state" black hole), from the dual CFT which is undergoing a sudden quench. In particular, we probe the near horizon and sub-horizon bulk locality. First we construct local bulk operators from the CFT in the leading semiclassical limit, $N\to \infty$. Then we look at effects due to the finiteness of $N$, where we propose a suitable coarse-graining prescription involving early and late time cut-offs to define semiclassical bulk observables which are approximately local; their departure from locality being non-perturbatively small in $N$. Our results have important implications on the black hole information problem.

41 pages, 11 figures, Typos fixed, Minor changes to Discussions and Outlook sections

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• Bulk reconstruction using timelike entanglement in (A)dS
• Seeing the Entanglement Wedge
• Holography in de Sitter and anti-de Sitter Spaces and Gel'fand Graev Radon transform
• Bulk reconstruction in rotating BTZ black hole
• Bulk reconstruction in AdS and Gel'fand-Graev-Radon Transform
• Distinguishing pure and thermal states by Landauer's principle in open systems
• Holography versus Correspondence principle: eternal Schwarzschild-anti-de Sitter geometry
• Bulk reconstruction and Bogoliubov transformations in AdS${}_2$