Electromagnetic helicity flux operators in higher dimensions
Abstract The helicity flux operator is a fascinating quantity that characterizes the angular distribution of the helicity of radiative photons or gravitons and it has many interesting physical consequences. In this paper, we construct the electromagnetic helicity flux operators which form a non-Abel...
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| Format: | Article |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)026 |
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| author | Wen-Bin Liu Jiang Long Xin-Hao Zhou |
| author_facet | Wen-Bin Liu Jiang Long Xin-Hao Zhou |
| author_sort | Wen-Bin Liu |
| collection | DOAJ |
| description | Abstract The helicity flux operator is a fascinating quantity that characterizes the angular distribution of the helicity of radiative photons or gravitons and it has many interesting physical consequences. In this paper, we construct the electromagnetic helicity flux operators which form a non-Abelian group in general dimensions, among which the minimal helicity flux operators form the massless representation of the little group, a finite spin unitary irreducible representation of the Poincaré group. As in four dimensions, they generate an extended angle-dependent transformation on the Carrollian manifold. Interestingly, there is no known corresponding bulk duality transformation in general dimensions. However, we can construct a topological Chern-Simons term that evaluates the minimal helicity flux operators at I + $$ {\mathcal{I}}^{+} $$ . |
| format | Article |
| id | doaj-art-2e8ee903f0134c6ba8b22c0daeb60399 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-2e8ee903f0134c6ba8b22c0daeb603992025-08-20T02:15:25ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025415210.1007/JHEP04(2025)026Electromagnetic helicity flux operators in higher dimensionsWen-Bin Liu0Jiang Long1Xin-Hao Zhou2School of Physics, Huazhong University of Science and TechnologySchool of Physics, Huazhong University of Science and TechnologySchool of Physics, Huazhong University of Science and TechnologyAbstract The helicity flux operator is a fascinating quantity that characterizes the angular distribution of the helicity of radiative photons or gravitons and it has many interesting physical consequences. In this paper, we construct the electromagnetic helicity flux operators which form a non-Abelian group in general dimensions, among which the minimal helicity flux operators form the massless representation of the little group, a finite spin unitary irreducible representation of the Poincaré group. As in four dimensions, they generate an extended angle-dependent transformation on the Carrollian manifold. Interestingly, there is no known corresponding bulk duality transformation in general dimensions. However, we can construct a topological Chern-Simons term that evaluates the minimal helicity flux operators at I + $$ {\mathcal{I}}^{+} $$ .https://doi.org/10.1007/JHEP04(2025)026AdS-CFT CorrespondenceField Theories in Higher Dimensions |
| spellingShingle | Wen-Bin Liu Jiang Long Xin-Hao Zhou Electromagnetic helicity flux operators in higher dimensions Journal of High Energy Physics AdS-CFT Correspondence Field Theories in Higher Dimensions |
| title | Electromagnetic helicity flux operators in higher dimensions |
| title_full | Electromagnetic helicity flux operators in higher dimensions |
| title_fullStr | Electromagnetic helicity flux operators in higher dimensions |
| title_full_unstemmed | Electromagnetic helicity flux operators in higher dimensions |
| title_short | Electromagnetic helicity flux operators in higher dimensions |
| title_sort | electromagnetic helicity flux operators in higher dimensions |
| topic | AdS-CFT Correspondence Field Theories in Higher Dimensions |
| url | https://doi.org/10.1007/JHEP04(2025)026 |
| work_keys_str_mv | AT wenbinliu electromagnetichelicityfluxoperatorsinhigherdimensions AT jianglong electromagnetichelicityfluxoperatorsinhigherdimensions AT xinhaozhou electromagnetichelicityfluxoperatorsinhigherdimensions |