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arXiv · 2402.00688

Carrollian $Lw_{1+\infty}$ representation from twistor space

Laura Donnay·Laurent Freidel·Yannick Herfray
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Abstract

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

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Laura Donnay, Laurent Freidel, Yannick Herfray. 2024-02-01. Carrollian $Lw_{1+\infty}$ representation from twistor space. https://arxiv.org/abs/2402.00688

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