Hologram of a pure state black hole

Understand

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, $N\rightarrow\infty$.
• 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 $N$.