Description
In the context of AdS/CFT, one of the most important problem is to
understand how CFTs describe the bulk interior of the AdS spacetime.
Especially, it is not clear whether CFTs can describe the black hole
interior. In order to understand it, we construct the bulk local
states which are dual to the the states locally excited by a scalar
fields in the AdS black holes. For double-sided BHs dual to the
thermofield double states and single-sided BHs dual to the CFT
boundary states, our construction correctly reproduces the classical
spacetime not only outside the horizon but also its inside. We also
analyzed the spacetime structure dual to the high energy eigenstates
in CFT with our construction. We found that classical black hole
spacetime can be reproduced from CFT side unless we probe the deep
interior in the bulk. We found the possibility that as we probe the
deep interior, the classical notion of spacetime might break down and
quantum corrections cannot be neglected. It might be related to the
firewall problem which has been actively argued recently.
