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Shocks, superconvergence, and a stringy equivalence principle

Koloğlu, Murat and Kravchuk, Petr and Simmons-Duffin, David and Zhiboedov, Alexander (2020) Shocks, superconvergence, and a stringy equivalence principle. Journal of High Energy Physics, 2020 (11). Art. No. 96. ISSN 1126-6708.

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We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on the shock ordering — in other words, coincident gravitational shocks commute. Shock commutativity leads to nontrivial constraints on low-energy effective theories. In particular, it excludes non-minimal gravitational couplings unless extra degrees of freedom are judiciously added. In flat space, these constraints are encoded in the vanishing of a certain “superconvergence sum rule.” In AdS, shock commutativity becomes the statement that average null energy (ANEC) operators commute in the dual CFT. We prove commutativity of ANEC operators in any unitary CFT and establish sufficient conditions for commutativity of more general light-ray operators. Superconvergence sum rules on CFT data can be obtained by inserting complete sets of states between light-ray operators. In a planar 4d CFT, these sum rules express a−c/c in terms of the OPE data of single-trace operators.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Koloğlu, Murat0000-0002-5082-8434
Kravchuk, Petr0000-0003-0977-3686
Simmons-Duffin, David0000-0002-2937-9515
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: June 8, 2020; Accepted: October 5, 2020; Published: November 19, 2020. We thank Alex Belin, Xián Camanho, Cliff Cheung, Simon Caron-Huot, Thomas Dumitrescu, Tom Faulkner, Nima Lashkari, Raghu Mahajan, Juan Maldacena, David Meltzer, Shiraz Minwalla, Eric Perlmutter, Douglas Stanford, and Eduardo Teste for discussions. DSD thanks the KITP and the organizers of the “Chaos and Order” workshop for hospitality during some of this work. DSD is supported by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap), a Sloan Research Fellowship, and a DOE Early Career Award under grant No. DE-SC0019085. PK is supported by DOE grant No. DE-SC0009988. This research was supported in part by the National Science Foundation under Grant No. NSF PHY-1748958, as well as 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
Simons Foundation488657
Alfred P. Sloan FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0019085
Department of Energy (DOE)DE-SC0009988
Department of Energy (DOE)DE-SC0011632
Subject Keywords:AdS-CFT Correspondence; Conformal and W Symmetry; Conformal Field; Theory, Models of Quantum Gravity
Issue or Number:11
Record Number:CaltechAUTHORS:20190426-081422230
Persistent URL:
Official Citation:Koloğlu, M., Kravchuk, P., Simmons-Duffin, D. et al. Shocks, superconvergence, and a stringy equivalence principle. J. High Energ. Phys. 2020, 96 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95006
Deposited By: Tony Diaz
Deposited On:26 Apr 2019 16:43
Last Modified:20 Nov 2020 19:25

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