Celestial Lw 1+∞ charges from a twistor action
The celestial Lw1+∞ symmetries in asymptotically flat spacetimes have a natural geometric interpretation on twistor space in terms of Poisson diffeomorphisms. Using this framework, we provide a first-principle derivation of the canonical generators associated with these symmetries starting from the...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2024
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| _version_ | 1826315150934671360 |
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| author | Kmec, A Mason, L Ruzziconi, R Srikant, AY |
| author_facet | Kmec, A Mason, L Ruzziconi, R Srikant, AY |
| author_sort | Kmec, A |
| collection | OXFORD |
| description | The celestial Lw1+∞ symmetries in asymptotically flat spacetimes have a natural geometric interpretation on twistor space in terms of Poisson diffeomorphisms. Using this framework, we provide a first-principle derivation of the canonical generators associated with these symmetries starting from the Poisson BF twistor action for self-dual gravity. We express these charges as surface integrals over the celestial sphere in terms of spacetime data at null infinity. The connection between twistor space and spacetime expressions at I is achieved via an integral formula for the asymptotic Bianchi identities due to Bramson and Tod. Finally, we clarify how Lw1+∞ transformations are symmetries of gravity from a phase space perspective by showing the invariance of the asymptotic Bianchi identities. |
| first_indexed | 2024-12-09T03:20:33Z |
| format | Journal article |
| id | oxford-uuid:9e1cb99e-6a9d-416f-aeb7-c3c1e49dedd2 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-12-09T03:20:33Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:9e1cb99e-6a9d-416f-aeb7-c3c1e49dedd22024-11-05T20:07:23ZCelestial Lw 1+∞ charges from a twistor actionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9e1cb99e-6a9d-416f-aeb7-c3c1e49dedd2EnglishJisc Publications RouterSpringer2024Kmec, AMason, LRuzziconi, RSrikant, AYThe celestial Lw1+∞ symmetries in asymptotically flat spacetimes have a natural geometric interpretation on twistor space in terms of Poisson diffeomorphisms. Using this framework, we provide a first-principle derivation of the canonical generators associated with these symmetries starting from the Poisson BF twistor action for self-dual gravity. We express these charges as surface integrals over the celestial sphere in terms of spacetime data at null infinity. The connection between twistor space and spacetime expressions at I is achieved via an integral formula for the asymptotic Bianchi identities due to Bramson and Tod. Finally, we clarify how Lw1+∞ transformations are symmetries of gravity from a phase space perspective by showing the invariance of the asymptotic Bianchi identities. |
| spellingShingle | Kmec, A Mason, L Ruzziconi, R Srikant, AY Celestial Lw 1+∞ charges from a twistor action |
| title | Celestial Lw 1+∞ charges from a twistor action |
| title_full | Celestial Lw 1+∞ charges from a twistor action |
| title_fullStr | Celestial Lw 1+∞ charges from a twistor action |
| title_full_unstemmed | Celestial Lw 1+∞ charges from a twistor action |
| title_short | Celestial Lw 1+∞ charges from a twistor action |
| title_sort | celestial lw 1 ∞ charges from a twistor action |
| work_keys_str_mv | AT kmeca celestiallw1chargesfromatwistoraction AT masonl celestiallw1chargesfromatwistoraction AT ruzziconir celestiallw1chargesfromatwistoraction AT srikantay celestiallw1chargesfromatwistoraction |