Transverse spin in the light-ray OPE
Abstract
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.
- Authors:
-
[3];
- California Institute of Technology (CalTech), Pasadena, CA (United States)
- Univ. of Oxford (United Kingdom)
- Institute for Advanced Study, Princeton, NJ (United States)
- European Organization for Nuclear Research (CERN), Geneva (Switzerland)
- Publication Date:
- Research Org.:
- Institute for Advanced Study, Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); Simons Foundation
- OSTI Identifier:
- 1879860
- Grant/Contract Number:
- SC0009988; SC0019085; 488657
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2022; Journal Issue: 5; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Higher Dimensions; Nonperturbative Effects; Scale and Conformal Symmetries
Citation Formats
Chang, Cyuan-Han, Koloğlu, Murat, Kravchuk, Petr, Simmons-Duffin, David, and Zhiboedov, Alexander. Transverse spin in the light-ray OPE. United States: N. p., 2022.
Web. doi:10.1007/jhep05(2022)059.
Chang, Cyuan-Han, Koloğlu, Murat, Kravchuk, Petr, Simmons-Duffin, David, & Zhiboedov, Alexander. Transverse spin in the light-ray OPE. United States. https://doi.org/10.1007/jhep05(2022)059
Chang, Cyuan-Han, Koloğlu, Murat, Kravchuk, Petr, Simmons-Duffin, David, and Zhiboedov, Alexander. Tue .
"Transverse spin in the light-ray OPE". United States. https://doi.org/10.1007/jhep05(2022)059. https://www.osti.gov/servlets/purl/1879860.
@article{osti_1879860,
title = {Transverse spin in the light-ray OPE},
author = {Chang, Cyuan-Han and Koloğlu, Murat and Kravchuk, Petr and Simmons-Duffin, David and Zhiboedov, Alexander},
abstractNote = {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.},
doi = {10.1007/jhep05(2022)059},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2022,
place = {United States},
year = {Tue May 10 00:00:00 EDT 2022},
month = {Tue May 10 00:00:00 EDT 2022}
}
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