Carrollian $L{w}_{1+\infty }$ representation from twistor space

Abstract

We construct an explicit realization of the action of the $L{w}_{1+\infty }$ loop algebra on fields at null infinity. This action is directly derived by Penrose transform of the geometrical action of $L{w}_{1+\infty }$ symmetries in twistor space, ensuring that it forms a representation of the algebra. Finally, we show that this action coincides with the canonical action of $L{w}_{1+\infty }$ Noether charges on the asymptotic phase space.

25 pages, 2 figures. Published version