Transverse spin in the light-ray OPE
We study a product of null-integrated local operators $\mathcal{O}$<sub>1</sub> and $\mathcal{O}$<sub>2</sub> 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 nul...
| Главные авторы: | , , , , |
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| Формат: | Journal article |
| Язык: | English |
| Опубликовано: |
Springer Nature
2022
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| _version_ | 1826307635488489472 |
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| author | Chang, C-H Kologlu, M Kravchuk, P Simmons-Duffin, D Zhiboedov, A |
| author_facet | Chang, C-H Kologlu, M Kravchuk, P Simmons-Duffin, D Zhiboedov, A |
| author_sort | Chang, C-H |
| collection | OXFORD |
| description | We study a product of null-integrated local operators $\mathcal{O}$<sub>1</sub> and $\mathcal{O}$<sub>2</sub> 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 $\mathcal{N}$ = 4 SYM, finding perfect agreement.
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| first_indexed | 2024-03-07T07:06:07Z |
| format | Journal article |
| id | oxford-uuid:58d49bf7-0a1c-4b64-9804-f3c342e1fd9a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:06:07Z |
| publishDate | 2022 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:58d49bf7-0a1c-4b64-9804-f3c342e1fd9a2022-05-13T10:21:50ZTransverse spin in the light-ray OPEJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:58d49bf7-0a1c-4b64-9804-f3c342e1fd9aEnglishSymplectic ElementsSpringer Nature2022Chang, C-HKologlu, MKravchuk, PSimmons-Duffin, DZhiboedov, AWe study a product of null-integrated local operators $\mathcal{O}$<sub>1</sub> and $\mathcal{O}$<sub>2</sub> 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 $\mathcal{N}$ = 4 SYM, finding perfect agreement. |
| spellingShingle | Chang, C-H Kologlu, M Kravchuk, P Simmons-Duffin, D Zhiboedov, A Transverse spin in the light-ray OPE |
| title | Transverse spin in the light-ray OPE |
| title_full | Transverse spin in the light-ray OPE |
| title_fullStr | Transverse spin in the light-ray OPE |
| title_full_unstemmed | Transverse spin in the light-ray OPE |
| title_short | Transverse spin in the light-ray OPE |
| title_sort | transverse spin in the light ray ope |
| work_keys_str_mv | AT changch transversespininthelightrayope AT kologlum transversespininthelightrayope AT kravchukp transversespininthelightrayope AT simmonsduffind transversespininthelightrayope AT zhiboedova transversespininthelightrayope |