Hologram of a pure state black hole
Abstract
In this paper, we extend the HamiltonKabatLifschytzLowe (HKLL) holographic smearing function method to reconstruct (quasi)local antide Sitter bulk scalar observables in the background of a large antide Sitter black hole formed by null shell collapse (a "pure state" black hole), from the dual conformal field theory which is undergoing a sudden quench. In particular, we probe the near horizon and subhorizon bulk locality. First, we construct local bulk operators from the conformal field theory in the leading semiclassical limit, N →∞ . Then, we look at effects due to the finiteness of N , where we propose a suitable coarsegraining prescription involving early and late time cutoffs to define semiclassical bulk observables which are approximately local, their departure from locality being nonperturbatively small in N . Our results have important implications on the black hole information problem.
 Publication:

Physical Review D
 Pub Date:
 December 2015
 DOI:
 10.1103/PhysRevD.92.126003
 arXiv:
 arXiv:1505.03895
 Bibcode:
 2015PhRvD..92l6003R
 Keywords:

 11.25.Tq;
 04.60.m;
 04.62.+v;
 04.70.Dy;
 Gauge/string duality;
 Quantum gravity;
 Quantum field theory in curved spacetime;
 Quantum aspects of black holes evaporation thermodynamics;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 41 pages, 11 figures, Typos fixed, Minor changes to Discussions and Outlook sections