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Unitarity and the Holographic S-Matrix
A. Liam Fitzpatrick, Jared Kaplan
The bulk S-Matrix can be given a non-perturbative definition in terms of the flat space limit of AdS/CFT. We show that the unitarity of the S-Matrix, ie the optical theorem, can be…
Analyticity and the Holographic S-Matrix
A. Liam Fitzpatrick, Jared Kaplan
We derive a simple relation between the Mellin amplitude for AdS/CFT correlation functions and the bulk S-Matrix in the flat spacetime limit, proving a conjecture of Penedones. As…
A Natural Language for AdS/CFT Correlators
A. Liam Fitzpatrick, Jared Kaplan, Joao Penedones +2
We provide dramatic evidence that `Mellin space' is the natural home for correlation functions in CFTs with weakly coupled bulk duals. In Mellin space, CFT correlators have poles c…
Scattering States in AdS/CFT
A. Liam Fitzpatrick, Jared Kaplan
We show that suitably regulated multi-trace primary states in large N CFTs behave like `in' and `out' scattering states in the flat-space limit of AdS. Their transition matrix elem…