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Unitarity Methods in AdS/CFT

Meltzer, David and Perlmutter, Eric and Sivaramakrishnan, Allic (2020) Unitarity Methods in AdS/CFT. Journal of High Energy Physics, 2020 (3). Art. No. 61. ISSN 1126-6708. doi:10.1007/JHEP03(2020)061.

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We develop a systematic unitarity method for loop-level AdS scattering amplitudes, dual to non-planar CFT correlators, from both bulk and boundary perspectives. We identify cut operators acting on bulk amplitudes that put virtual lines on shell, and show how the conformal partial wave decomposition of the amplitudes may be efficiently computed by gluing lower-loop amplitudes. A central role is played by the double discontinuity of the amplitude, which has a direct relation to these cuts. We then exhibit a precise, intuitive map between the diagrammatic approach in the bulk using cutting and gluing, and the algebraic, holographic unitarity method of [1] that constructs the non-planar correlator from planar CFT data. Our analysis focuses mostly on four-point, one-loop diagrams — we compute cuts of the scalar bubble, triangle and box, as well as some one-particle reducible diagrams — in addition to the five-point tree and four-point double-ladder. Analogies with S-matrix unitarity methods are drawn throughout.

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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. Received: January 28, 2020; Accepted: February 24, 2020; Published: March 11, 2020. We thank Ofer Aharony, Soner Albayrak, António Antunes, Dean Carmi, Clifford Cheung, Liam Fitzpatrick, Amirhossein Tajdini, Murat Kologlu, Per Kraus, Ying Hsuan-Lin, Julio Parra-Martinez, Gim Seng Ng, David Poland, and David Simmons-Duffin for discussions. This research was supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Research and Innovation. The research of DM is supported by the Walter Burke Institute for Theoretical Physics and the Sherman Fairchild Foundation. EP is supported by Simons Foundation grant 488657. AS is grateful to the Walter Burke Institute for Theoretical Physics for hospitality during the course of this work. 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. This work was performed at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Department of Innovation, Science and Economic Development (Canada)UNSPECIFIED
Ontario Ministry of Research and InnovationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Simons Foundation488657
Department of Energy (DOE)DE-SC0011632
Subject Keywords:AdS-CFT Correspondence; Conformal Field Theory; Scattering Amplitudes
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Issue or Number:3
Record Number:CaltechAUTHORS:20200205-145553231
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Official Citation:Meltzer, D., Perlmutter, E. & Sivaramakrishnan, A. Unitarity methods in AdS/CFT. J. High Energ. Phys. 2020, 61 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101148
Deposited By: Joy Painter
Deposited On:06 Feb 2020 15:37
Last Modified:16 Nov 2021 17:59

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