PreprintCC BY 4.0HAL
AdS4 Celestial Symmetries: from Ambitwistor charges to CFT3 Light-Ray Operators
Abstract
The LΛw1+∞ algebra is the cosmological-constant deformation of the celestial Lw1+∞ symmetry algebra of gravity, providing an infinite-dimensional extension of the three-dimensional conformal algebra at the AdS4 boundary. We construct the Hamiltonian charges associated with these symmetries from boundary ambitwistor-space data, using LeBrun's Heaven on Earth correspondence, and translate them to spacetime via the Penrose transform. We relate the resulting expressions to light-ray operators in the boundary CFT3, including ANEC operators, their conformal descendants, and their commutators.
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BibTeX
@misc{goodenbour2026ads4,
title = {{AdS$_4$ Celestial Symmetries: from Ambitwistor charges to CFT$_3$ Light-Ray Operators}},
author = {Alex Goodenbour and Adam Kmec and Lionel Mason and Romain Ruzziconi},
howpublished = {HAL},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.28633},
eprint = {2609.28633},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05780397v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - AdS_4 Celestial Symmetries: from Ambitwistor charges to CFT_3 Light-Ray Operators
AU - Alex Goodenbour
AU - Adam Kmec
AU - Lionel Mason
AU - Romain Ruzziconi
PY - 2026
DA - 2026/09/23
PB - HAL
DO - 10.48550/arxiv.2609.28633
UR - https://hal.science/hal-05780397v1
AB - The L_Λw_1+∞ algebra is the cosmological-constant deformation of the celestial Lw_1+∞ symmetry algebra of gravity, providing an infinite-dimensional extension of the three-dimensional conformal algebra at the AdS_4 boundary. We construct the Hamiltonian charges associated with these symmetries from boundary ambitwistor-space data, using LeBrun's Heaven on Earth correspondence, and translate them to spacetime via the Penrose transform. We relate the resulting expressions to light-ray operators in the boundary CFT_3, including ANEC operators, their conformal descendants, and their commutators.
ER -