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Looking for a bulk point

Maldacena, Juan and Simmons-Duffin, David and Zhiboedov, Alexander (2017) Looking for a bulk point. Journal of High Energy Physics, 2017 (1). Art. No. 13. ISSN 1029-8479. https://resolver.caltech.edu/CaltechAUTHORS:20170815-102514589

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Abstract

We consider Lorentzian correlators of local operators. In perturbation theory, singularities occur when we can draw a position-space Landau diagram with null lines. In theories with gravity duals, we can also draw Landau diagrams in the bulk. We argue that certain singularities can arise only from bulk diagrams, not from boundary diagrams. As has been previously observed, these singularities are a clear diagnostic of bulk locality. We analyze some properties of these perturbative singularities and discuss their relation to the OPE and the dimensions of double-trace operators. In the exact nonperturbative theory, we expect no singularity at these locations. We prove this statement in 1+1 dimensions by CFT methods.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP01(2017)013DOIArticle
https://arxiv.org/abs/1509.03612arXivDiscussion Paper
ORCID:
AuthorORCID
Maldacena, Juan0000-0002-9127-1687
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:© 2017 The Author(s). Received: November 7, 2016 Accepted: December 22, 2016 Published: January 3, 2017 We thank N. Arkani-Hamed, B. Burrington, T. Hartman, D. Kosower, J. Penedones, M. Spradlin, D. Stanford, G. Turiaci, P. Vieira, I. Zadeh and A. Zamolodchikov for discussions. J.M. and D.S.D. are supported in part by U.S. Department of Energy grant DE-SC0009988. D.S.D. is also supported by a William D. Loughlin Membership at the Institute for Advanced Study. A.Z. is supported in part by U.S. Department of Energy grant DE-SC0007870. 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.
Funders:
Funding AgencyGrant Number
SCOAP3UNSPECIFIED
Department of Energy (DOE)DE-SC0009988
Institute for Advanced StudyUNSPECIFIED
Department of Energy (DOE)DE-SC0007870
Subject Keywords:AdS-CFT Correspondence Conformal Field Theory Classical Theories of Gravity Scattering Amplitudes
Issue or Number:1
Record Number:CaltechAUTHORS:20170815-102514589
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170815-102514589
Official Citation:Maldacena, J., Simmons-Duffin, D. & Zhiboedov, A. J. High Energ. Phys. (2017) 2017: 13. https://doi.org/10.1007/JHEP01(2017)013
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80415
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Aug 2017 22:23
Last Modified:20 Nov 2020 19:26

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