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AdS bulk locality from sharp CFT bounds

Caron-Huot, Simon and Mazáč, Dalimil and Rastelli, Leonardo and Simmons-Duffin, David (2021) AdS bulk locality from sharp CFT bounds. Journal of High Energy Physics, 2021 (11). Art. No. 164. ISSN 1029-8479. doi:10.1007/jhep11(2021)164.

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It is a long-standing conjecture that any CFT with a large central charge and a large gap ∆gap in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp form of this conjecture by deriving numerical bounds on bulk Wilson coefficients in terms of ∆_(gap) using the conformal bootstrap. Our bounds exhibit the scaling in ∆_(gap) expected from dimensional analysis in the bulk. Our main tools are dispersive sum rules that provide a dictionary between CFT dispersion relations and S-matrix dispersion relations in appropriate limits. This dictionary allows us to apply recently-developed flat-space methods to construct positive CFT functionals. We show how AdS₄ naturally resolves the infrared divergences present in 4D flat-space bounds. Our results imply the validity of twice-subtracted dispersion relations for any S-matrix arising from the flat-space limit of AdS/CFT.

Item Type:Article
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URLURL TypeDescription Paper
Mazáč, Dalimil0000-0003-2613-0906
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:© 2021 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 20 September 2021. Accepted 02 November 2021. Published 22 November 2021. We thank Yue-Zhou Li, David Meltzer, Julio Parra-Martinez, Eric Perlmutter, and Sasha Zhiboedov for discussions. We thank Sandipan Kundu for sharing a draft of [53] prior to publication. The work of S. C.-H. is supported by the National Science and Engineering Council of Canada, the Canada Research Chair program, the Simons Collaboration on the Nonperturbative Bootstrap, and the Sloan Foundation. D.M. gratefully acknowledges funding provided by Edward and Kiyomi Baird as well as the grant DE-SC0009988 from the U.S. Department of Energy. The work of L.R. is supported in part by NSF grant # PHY-1915093. D.S.-D. is supported by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap) and a DOE Early Career Award under grant no. DE-SC0019085.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Canada Research Chairs ProgramUNSPECIFIED
Simons Foundation488657
Alfred P. Sloan FoundationUNSPECIFIED
Edward and Kiyomi BairdUNSPECIFIED
Department of Energy (DOE)DE-SC0009988
Department of Energy (DOE)DE-SC0019085
Subject Keywords:AdS-CFT Correspondence, Conformal Field Theory, Effective Field Theories
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Issue or Number:11
Record Number:CaltechAUTHORS:20211207-6309000
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Official Citation:Caron-Huot, S., Mazáč, D., Rastelli, L. et al. AdS bulk locality from sharp CFT bounds. J. High Energ. Phys. 2021, 164 (2021).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112268
Deposited By: George Porter
Deposited On:08 Dec 2021 17:27
Last Modified:01 Feb 2022 22:58

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