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

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Abstract
We construct an explicit realization of the action of the \mathscr Lw_{1+∞} ℒ w 1 + ∞ loop algebra on fields at null infinity. This action is directly derived by Penrose transform of the geometrical action of \mathscr Lw_{1+∞} ℒ w 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+∞} ℒ w 1 + ∞ Noether charges on the asymptotic phase space.
Funding Information
  • European Research Council (101076737)
  • Innovation, Science and Economic Development Canada
  • Instituto Nazionale di Fisica Nucleare
  • Ministry of Colleges and Universities
  • Simons Foundation

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