Carrollian $Lw_{1+\infty}$ representation from twistor space
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915269238063104 |
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| author | Donnay, Laura Freidel, Laurent Herfray, Yannick |
| author_facet | Donnay, Laura Freidel, Laurent Herfray, Yannick |
| contents | We construct an explicit realization of the action of the $Lw_{1+\infty}$ loop algebra on fields at null infinity. This action is directly derived by Penrose transform of the geometrical action of $Lw_{1+\infty}$ symmetries in twistor space, ensuring that it forms a representation of the algebra. Finally, we show that this action coincides with the canonical action of $Lw_{1+\infty}$ Noether charges on the asymptotic phase space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00688 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Carrollian $Lw_{1+\infty}$ representation from twistor space Donnay, Laura Freidel, Laurent Herfray, Yannick High Energy Physics - Theory General Relativity and Quantum Cosmology We construct an explicit realization of the action of the $Lw_{1+\infty}$ loop algebra on fields at null infinity. This action is directly derived by Penrose transform of the geometrical action of $Lw_{1+\infty}$ symmetries in twistor space, ensuring that it forms a representation of the algebra. Finally, we show that this action coincides with the canonical action of $Lw_{1+\infty}$ Noether charges on the asymptotic phase space. |
| title | Carrollian $Lw_{1+\infty}$ representation from twistor space |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2402.00688 |