Analyticity and the holographic \(S\)-matrix
From MaRDI portal
Publication:1796057
DOI10.1007/JHEP10(2012)127zbMATH Open1397.81300arXiv1111.6972OpenAlexW3105321404MaRDI QIDQ1796057
Author name not available (Why is that?)
Publication date: 16 October 2018
Published in: (Search for Journal in Brave)
Abstract: 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 consequence of the Operator Product Expansion, the Mellin amplitude for any unitary CFT must be a meromorphic function with simple poles on the real axis. This provides a powerful and suggestive handle on the locality vis-a-vis analyticity properties of the S-Matrix. We begin to explore analyticity by showing how the familiar poles and branch cuts of scattering amplitudes arise from the holographic description. For this purpose we compute examples of Mellin amplitudes corresponding to 1-loop and 2-loop Witten diagrams in AdS. We also examine the flat spacetime limit of conformal blocks, implicitly relating the S-Matrix program to the Bootstrap program for CFTs. We use this connection to show how the existence of small black holes in AdS leads to a universal prediction for the conformal block decomposition of the dual CFT.
Full work available at URL: https://arxiv.org/abs/1111.6972
No records found.
No records found.
This page was built for publication: Analyticity and the holographic \(S\)-matrix
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q1796057)
