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Pré-Publication, Document De Travail Année : 2024

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

Résumé

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.

Dates et versions

hal-04455659 , version 1 (13-02-2024)

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Laura Donnay, Laurent Freidel, Yannick Herfray. Carrollian $Lw_{1+\infty}$ representation from twistor space. 2024. ⟨hal-04455659⟩
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