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: | , , , |
|---|---|
| Formato: | Journal article |
| Idioma: | English |
| Publicado em: |
Springer
2024
|
| Resumo: | 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. |
|---|