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Carrollian $\mathscr Lw_{1+\infty}$ representation from twistor space
by Laura Donnay, Laurent Freidel, Yannick Herfray
Submission summary
| Authors (as registered SciPost users): | Laura Donnay |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202408_00001v1 (pdf) |
| Date submitted: | 2024-08-01 10:15 |
| Submitted by: | Donnay, Laura |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We construct an explicit realization of the action of the $\mathscr Lw_{1+\infty}$ loop algebra on fields at null infinity. This action is directly derived by Penrose transform of the geometrical action of $\mathscr Lw_{1+\infty}$ 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 $\mathscr Lw_{1+\infty}$ Noether charges on the asymptotic phase space.
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Current status:
In refereeing