Celestial Lw 1+∞ charges from a twistor action

Autor: Adam Kmec, Lionel Mason, Romain Ruzziconi, Akshay Yelleshpur Srikant
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 10, Pp 1-41 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP10(2024)250
Popis: Abstract The celestial Lw 1+∞ 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 $$ \mathcal{I} $$ is achieved via an integral formula for the asymptotic Bianchi identities due to Bramson and Tod. Finally, we clarify how Lw 1+∞ transformations are symmetries of gravity from a phase space perspective by showing the invariance of the asymptotic Bianchi identities.
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