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Transverse spin in the light-ray OPE

Chang, Cyuan-Han and Koloğlu, Murat and Kravchuk, Petr and Simmons-Duffin, David and Zhiboedov, Alexander (2020) Transverse spin in the light-ray OPE. . (Submitted)

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We study a product of null-integrated local operators O1 and O2 on the same null plane in a CFT. Such null-integrated operators transform like primaries in a fictitious d−2 dimensional CFT in the directions transverse to the null integrals. We give a complete description of the OPE in these transverse directions. The terms with low transverse spin are light-ray operators with spin J1+J2−1. The terms with higher transverse spin are primary descendants of light-ray operators with higher spins J1+J2−1+n, constructed using special conformally-invariant differential operators that appear precisely in the kinematics of the light-ray OPE. As an example, the OPE between average null energy operators contains light-ray operators with spin 3 (as described by Hofman and Maldacena), but also novel terms with spin 5,7,9, etc.. These new terms are important for describing energy two-point correlators in non-rotationally-symmetric states, and for computing multi-point energy correlators. We check our formulas in a non-rotationally-symmetric energy correlator in N=4 SYM, finding perfect agreement.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Koloğlu, Murat0000-0002-5082-8434
Kravchuk, Petr0000-0003-0977-3686
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:We thank Lance Dixon, Adam Levine, Juan Maldacena, Pier Monni, Ian Moult, and Emery Sokatchev for discussions. CHC and DSD are 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 and the Adler Family Fund at the Institute for Advanced Study. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 787185).
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488657
Department of Energy (DOE)DE-SC0019085
Department of Energy (DOE)DE-SC0009988
Institute for Advanced StudyUNSPECIFIED
European Research Council (ERC)787185
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Record Number:CaltechAUTHORS:20201013-113712492
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106022
Deposited By: Joy Painter
Deposited On:13 Oct 2020 18:46
Last Modified:20 Nov 2020 19:23

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