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Model-dependence of minimal-twist OPEs in d > 2 holographic CFTs

Fitzpatrick, A. Liam and Huang, Kuo-Wei and Meltzer, David and Perlmutter, Eric and Simmons-Duffin, David (2020) Model-dependence of minimal-twist OPEs in d > 2 holographic CFTs. Journal of High Energy Physics, 2020 (11). Art. No. 60. ISSN 1029-8479.

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Following recent work on heavy-light correlators in higher-dimensional conformal field theories (CFTs) with a large central charge CT, we clarify the properties of stress tensor composite primary operators of minimal twist, [Tᵐ], using arguments in both CFT and gravity. We provide an efficient proof that the three-point coupling 〈O_LO_L[Tᵐ]〉, where O_L is any light primary operator, is independent of the purely gravitational action. Next, we consider corrections to this coupling due to additional interactions in AdS effective field theory and the corresponding dual CFT. When the CFT contains a non-zero three-point coupling 〈TTO_L 〉, the three-point coupling 〈O_LO_L[T²]〉 is modified at large C_T if 〈TTO_L 〉 ~ √C_T. This scaling is obeyed by the dilaton, by Kaluza-Klein modes of prototypical supergravity compactifications, and by scalars in stress tensor multiplets of supersymmetric CFTs. Quartic derivative interactions involving the graviton and the light probe field dual to O_L can also modify the minimal-twist couplings; these local interactions may be generated by integrating out a spin-ℓ ≥ 2 bulk field at tree level, or any spin ℓ at loop level. These results show how the minimal-twist OPE coefficients can depend on the higher-spin gap scale, even perturbatively.

Item Type:Article
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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. Received 27 July 2020. Accepted 06 October 2020. Published 12 November 2020. Article funded by SCOAP3. ALF and KWH were supported in part by the U.S. Department of Energy Office of Science under Award Number DE-SC0015845 and in part by the Simons collaboration Grant on the Non-Perturbative Bootstrap, and ALF in part by a Sloan Foundation fellowship. The research of DM was supported by the Walter Burke Institute for Theoretical Physics and the Sherman Fairchild Foundation. EP was supported by Simons Foundation grant 488657. DSD was supported in part 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. This work was initiated 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
Department of Energy (DOE)DE-SC0015845
Simons Foundation488657
Alfred P. Sloan FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0019085
Subject Keywords:AdS-CFT Correspondence, Conformal Field Theory, Field Theories in Higher Dimensions
Issue or Number:11
Record Number:CaltechAUTHORS:20201113-100153642
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Official Citation:Fitzpatrick, A.L., Huang, KW., Meltzer, D. et al. Model-dependence of minimal-twist OPEs in d > 2 holographic CFTs. J. High Energ. Phys. 2020, 60 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106670
Deposited By: George Porter
Deposited On:16 Nov 2020 15:03
Last Modified:20 Nov 2020 20:25

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