Wave packets in AdS/CFT correspondence

Abstract

In this paper, we construct a general bulk wave packet in the AdS/CFT correspondence. This wave packet can be described both in bulk and conformal field theory (CFT) descriptions. Then, we compute the time evolution of the energy density of this wave-packet state on the vacuum in the CFT picture of AdS3/CFT2. We find that the energy density of the wave packet is localized at two points, which means that the bulk wave packet corresponds to two light-like particle-like objects in the CFT picture. Our result implies that the entanglement wedge reconstruction given by Almheiri [Bulk locality and quantum error correction in AdS/CFT, is invalid. Published by the American Physical Society 2024