AdS/CFT unitarity at higher loops: high-energy string scattering
- Creators
- Meltzer, David
Abstract
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.
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.Attached Files
Published - Meltzer2020_Article_AdSCFTUnitarityAtHigherLoopsHi.pdf
Submitted - 1912.05580.pdf
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Additional details
- Eprint ID
- 103521
- Resolver ID
- CaltechAUTHORS:20200528-132030953
- Walter Burke Institute for Theoretical Physics, Caltech
- Sherman Fairchild Foundation
- DE-SC0011632
- Department of Energy (DOE)
- SCOAP3
- Created
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2020-05-28Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics