On AdS4_4 deformations of celestial symmetries

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.Comment: 13 page

On AdS 4 deformations of celestial symmetries

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 Λ 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

On AdS4 deformations of celestial symmetries

Acknowledgements: We thank Tim Adamo, Sean Seet and Atul Sharma, to whom these ideas will be well-known, and Romain Ruzziconi, Akshay Yelleshpur Srikant for encouragement and useful discussions on these and related topics. RB and SH would like to thank Kevin Costello and Natalie Paquette for helpful discussions. This work was supported by the Simons Collaboration on Celestial Holography. RB’s research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development and by the Province of Ontario through the Ministry of Colleges and Universities. GB is supported by a joint Clarendon Fund and Merton College Mathematics Scholarship. SH is partly supported by St. John’s College, Cambridge. AK is supported by the STFC. LJM would like to thank the STFC for financial support from grant number ST/T000864/1. The work of SH & DS has been supported in part by STFC consolidated grant ST/X000664/1.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 Λ 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.</jats:p