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AdS/CFT unitarity at higher loops: high-energy string scattering

Meltzer, David (2020) AdS/CFT unitarity at higher loops: high-energy string scattering. Journal of High Energy Physics, 2020 (5). Art. No. 133. ISSN 1029-8479. doi:10.1007/jhep05(2020)133.

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What is the space of weakly-coupled, gravitational theories which contain massive, higher-spin particles? This class of theories is highly constrained and it is conjectured their ultraviolet completion must be string theory. We provide more evidence for this conjecture by studying the Regge limit in large N, 4d CFTs with single-trace operators of unbounded spin. We show that in the Regge limit, these theories have bulk scattering amplitudes which are consistent with the string theory prediction to all orders in 1/N for large, but finite, coupling. In the language of Regge theory, we show Pomeron exchange naturally exponentiates in the 1/N expansion. To do this, we solve the bootstrap equations at tree-level and then use the Lorentzian inversion formula to find the one-loop correlator in the Regge limit. This is a unitarity method for AdS/CFT which can be repeated iteratively to make all orders statements. We also explain under what conditions the tree-level result exponentiates in the 1/N expansion at arbitrary coupling. Finally, we comment on further inelastic effects and show they give subleading contributions at large coupling. As a consistency check, we recover results from bulk Einstein gravity in the limit where all higher-spin particles decouple.

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Additional Information:© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: January 28, 2020; Accepted: April 26, 2020; Published: May 27, 2020. We thank Soner Albayrak, Dean Carmi, Petr Kravchuk, Daliang Li, Eric Perlmutter, David Poland, David Simmons-Duffin, and Allic Sivaramakrishnan for discussions. The research of DM is supported by the Walter Burke Institute for Theoretical Physics and the Sherman Fairchild Foundation. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:1/N Expansion; AdS-CFT Correspondence; Conformal and W Symmetry; Conformal Field Theory
Issue or Number:5
Record Number:CaltechAUTHORS:20200528-132030953
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Official Citation:Meltzer, D. AdS/CFT unitarity at higher loops: high-energy string scattering. J. High Energ. Phys. 2020, 133 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103521
Deposited By: Tony Diaz
Deposited On:28 May 2020 20:32
Last Modified:16 Nov 2021 18:22

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