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Celestial symmetries charges at null infinity from twistor space

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TWT - Twistor theory

Celestial symmetry algebras arise from the OPEs of soft gravitons giving rise to the so-called `Lw_{1+\infty} algebra’. This talk will explain how this algebra can be  can be understood as the local structure preserving local diffeomorphisms of twistor space.  This can be naturally deformed to yield analogues with cosmological constant following https://arxiv.org/abs/2403.18011.  We also give a brief introduction to twistor space actions to show how Noether arguments can be used to obtain improved associated charge and flux integrals at null infinity as originally found by Friedel, Pranzetti and Raclariu; this is joint work with Adam Kmec, Romain Ruzziconi and  Akshay Yelleshpur-Srikant https://arxiv.org/abs/2407.04028.  If there is time there will be some further open-ended discussion of open questions in celestial holography via twistor theory.

This talk is part of the Isaac Newton Institute Seminar Series series.

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