The flat space S-matrix from the AdS/CFT correspondence?

Understand

We investigate recovery of the bulk S-matrix from the AdS/CFT correspondence, at large radius.

• It was recently argued that some of the elements of the S-matrix might be read from CFT correlators, given a particular singularity structure of the latter, but leaving the question of more general S-matrix elements.
• Since in AdS/CFT, data must be specified on the boundary, we find certain limitations on the corresponding bulk wavepackets and on their localization properties.
• In particular, those we have found that approximately localize have low-energy tails, and corresponding power-law tails in position space.