Contributor info: Dr Laurent Freidel

Laura Donnay, Laurent Freidel, Yannick Herfray

SciPost Phys. 17, 118 (2024) · published 22 October 2024 | Toggle abstract · pdf

We construct an explicit realization of the action of the $\mathscr Lw_{1+∞}$ loop algebra on fields at null infinity. This action is directly derived by Penrose transform of the geometrical action of $\mathscr Lw_{1+∞}$ 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 $\mathscr Lw_{1+∞}$ Noether charges on the asymptotic phase space.