TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.4.118
TI  - Carrollian $\mathscr Lw_{1+\infty}$ representation from twistor space
PY  - 2024/10/22
UR  - https://www.scipost.org/SciPostPhys.17.4.118
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 4
SP  - 118
A1  - Donnay, Laura
AU  - Freidel, Laurent
AU  - Herfray, Yannick
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.17.4.118,
	title={{Carrollian $\mathscr Lw_{1+\infty}$ representation from twistor space}},
	author={Laura Donnay and Laurent Freidel and Yannick Herfray},
	journal={SciPost Phys.},
	volume={17},
	pages={118},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.4.118},
	url={https://scipost.org/10.21468/SciPostPhys.17.4.118},
}