Generalized angular momentum via Wald-Zoupas


RIGNON-BRET, A. (2023). Generalized angular momentum via Wald-Zoupas. Perimeter Institute. https://pirsa.org/23110062


RIGNON-BRET, Antoine. Generalized angular momentum via Wald-Zoupas. Perimeter Institute, Nov. 16, 2023, https://pirsa.org/23110062


          @misc{ pirsa_PIRSA:23110062,
            doi = {10.48660/23110062},
            url = {https://pirsa.org/23110062},
            author = {RIGNON-BRET, Antoine},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Generalized angular momentum via Wald-Zoupas},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {nov},
            note = {PIRSA:23110062 see, \url{https://pirsa.org}}

Antoine RIGNON-BRET Aix-Marseille University

Talk Type Scientific Series


In the last years, asymptotic symmetries have regained a lot of interest, and various extensions of the well known BMS group have been considered in the literature. Many charges associated to the diffeomorphisms of the sphere (superboosts and superrotations) have been proposed, but it has not been clear if these charges can be derived from a symplectic potential that is covariant and stationary, i.e satisfying the Wald-Zoupas usual requirements. In this talk I will consider a new asymptotic symmetry group, which is a one dimensional extension of the generalized-BMS group, and construct a stationary symplectic potential, covariant with respect to these symmetries, by adding corner terms to the usual Einstein-Hilbert symplectic potential. Then, we will recover the charges introduced by Compère, Fiorucci and Ruzziconi for superboosts and superrotations. In order to ensure covariance, we will need to introduce an edge mode which has already appeared in the literature, the supertranslation field. I will also explain that its introduction as a corner term can lead us to construct a local (asymptotic) notion of energy for the gravitational waves, providing a physical interpretation of the new charges.


Zoom link https://pitp.zoom.us/j/97926664729?pwd=VzV2VmQ4eVlzcFdaZkNBNnpqRkMvUT09