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Carrollian $\mathscr Lw_{1+\infty}$ representation from twistor space
by Laura Donnay, Laurent Freidel, Yannick Herfray
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Submission summary
| Authors (as registered SciPost users): | Laura Donnay |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202408_00001v2 (pdf) |
| Date accepted: | 2024-10-08 |
| Date submitted: | 2024-10-02 18:05 |
| Submitted by: | Donnay, Laura |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| 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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- Present a breakthrough on a previously-identified and long-standing research stumbling block
Published as SciPost Phys. 17, 118 (2024)
Reports on this Submission
Report #1 by Atul Sharma (Referee 3) on 2024-10-7 (Invited Report)
Report
The authors have answered my questions satisfactorily and I'm happy with the corrections made. I recommend that this paper be published in SciPost Physics.
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