Electromagnetic helicity flux operators in higher dimensions
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909562520469504 |
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| author | Liu, Wen-Bin Long, Jiang Zhou, Xin-Hao |
| author_facet | Liu, Wen-Bin Long, Jiang Zhou, Xin-Hao |
| contents | 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 $\mathcal{I}^+$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20077 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electromagnetic helicity flux operators in higher dimensions Liu, Wen-Bin Long, Jiang Zhou, Xin-Hao High Energy Physics - Theory 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 $\mathcal{I}^+$. |
| title | Electromagnetic helicity flux operators in higher dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.20077 |