Flat from AdS: in any even dimension and for any spin
Abstract
The space of solutions to the free equations of motion for massless fields of arbitrary integer spin in Minkowski spacetime is recovered as a smooth limit of the anti-de Sitter solution space for any even spacetime dimension. The infinite set of boundary data near null infinity that characterise solutions in Minkowski spacetime is obtained from an expansion of the anti-de Sitter source and vev in powers of the cosmological constant. In particular, the source gives rise to the analogue of the gravitational shear tensor, while the vev yields the analogues of the mass and angular-momentum aspects, as well as the subleading infinite tower of boundary data. These identifications are further supported by the branching of the source and vev into representations of the Lorentz algebra identified with the conformal algebra of the celestial sphere.
Versions
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BibTeX
@misc{bekaert2026flat,
title = {{Flat from AdS: in any even dimension and for any spin}},
author = {Xavier Bekaert and Andrea Campoleoni and Simon Pekar and S. I. Aadharsh Raj},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.03955},
eprint = {2606.03955},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.03955},
}
RIS
TY - UNPB
TI - Flat from AdS: in any even dimension and for any spin
AU - Xavier Bekaert
AU - Andrea Campoleoni
AU - Simon Pekar
AU - S. I. Aadharsh Raj
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2606.03955
UR - https://arxiv.org/abs/2606.03955
AB - The space of solutions to the free equations of motion for massless fields of arbitrary integer spin in Minkowski spacetime is recovered as a smooth limit of the anti-de Sitter solution space for any even spacetime dimension. The infinite set of boundary data near null infinity that characterise solutions in Minkowski spacetime is obtained from an expansion of the anti-de Sitter source and vev in powers of the cosmological constant. In particular, the source gives rise to the analogue of the gravitational shear tensor, while the vev yields the analogues of the mass and angular-momentum aspects, as well as the subleading infinite tower of boundary data. These identifications are further supported by the branching of the source and vev into representations of the Lorentz algebra identified with the conformal algebra of the celestial sphere.
ER -