On AdS$_4$ deformations of celestial symmetries

Fuente: arXiv
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Main Authors: Bittleston, Roland, Bogna, Giuseppe, Heuveline, Simon, Kmec, Adam, Mason, Lionel, Skinner, David
Format: Preprint
Published: 2024
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author Bittleston, Roland
Bogna, Giuseppe
Heuveline, Simon
Kmec, Adam
Mason, Lionel
Skinner, David
author_facet Bittleston, Roland
Bogna, Giuseppe
Heuveline, Simon
Kmec, Adam
Mason, Lionel
Skinner, David
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2403_18011
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On AdS$_4$ deformations of celestial symmetries
Bittleston, Roland
Bogna, Giuseppe
Heuveline, Simon
Kmec, Adam
Mason, Lionel
Skinner, David
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
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.
title On AdS$_4$ deformations of celestial symmetries
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2403.18011