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• W3091929176 abstract "A bstract We study a product of null-integrated local operators $$ {mathcal{O}}_1 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>O</mml:mi> <mml:mn>1</mml:mn> </mml:msub> </mml:math> and $$ {mathcal{O}}_2 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>O</mml:mi> <mml:mn>2</mml:mn> </mml:msub> </mml:math> 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 J 1 + J 2 − 1. The terms with higher transverse spin are primary descendants of light-ray operators with higher spins J 1 + J 2 − 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 $$ mathcal{N} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>N</mml:mi> </mml:math> = 4 SYM, finding perfect agreement." @default.
• W3091929176 created "2020-10-15" @default.
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• W3091929176 date "2022-05-10" @default.
• W3091929176 modified "2023-09-26" @default.
• W3091929176 title "Transverse spin in the light-ray OPE" @default.
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• W3091929176 doi "https://doi.org/10.1007/jhep05(2022)059" @default.
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