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arXiv · 2403.18011

On AdS$_4$ deformations of celestial symmetries

Roland Bittleston·Giuseppe Bogna·Simon Heuveline·Adam Kmec·Lionel Mason·David Skinner
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Abstract

Celestial holography has led to the discovery of new symmetry algebras arising from the study of collinear limits of perturbative gravity amplitudes in flat space. We explain from the twistor perspective how a non-vanishing cosmological constant $\Lambda$ naturally modifies the celestial chiral algebra. The cosmological constant deforms the Poisson bracket on twistor space, so the corresponding deformed algebra of Hamiltonians under the new bracket is automatically consistent. This algebra is equivalent to that recently found by Taylor and Zhu. We find a number of variations of the deformed algebra. We give the Noether charges arising from the expression of this algebra as a symmetry of the twistor action for self-dual gravity with cosmological constant.

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Roland Bittleston, Giuseppe Bogna, Simon Heuveline, Adam Kmec, Lionel Mason, David Skinner. 2024-03-26. On AdS$_4$ deformations of celestial symmetries. https://arxiv.org/abs/2403.18011

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