$w_{1+\infty}$ Higher spin symmetries in gravity and asymptotic charge dynamics

Abstract: In this talk, I will present an analysis, based on symmetries, of Einstein's equation in Asymptotically flat spacetime that simplifies the asymptotic gravitational dynamics drastically. I will show that the asymptotic Einstein's equation can be recast as conservations equations for a Carrollian fluid. These conservation equations contain a spin-zero (the mass), spin 1 (the momenta) and spin 2 charge aspects. I will show that the spin 2 conservation equation finally gives a symmetry interpretation to the subsub-leading soft theorems. It also reveals a higher spin symmetry in gravity acting on the gravitational phase space. If time permits, I will explain the connection with the Celestial CFT derivation of a global version of the symmetry algebra and the challenges that lie ahead.

HEP - theorymathematical physics

Audience: researchers in the topic

Physics @ Boundaries Workshop