Conformal Wave Expansions for Flat Space Amplitudes
High Energy Physics - Theory
2021-07-28 v1
Abstract
The extended BMS algebra contains a conformal subgroup that acts on the celestial sphere as SO(3,1). It is of interest to perform mode expansions of free fields in Minkowski spacetime that realize this symmetry in a simple way. In the present work we perform such a mode expansion for massive scalar fields using the unitary principal series representations of SO(3,1) with a view to developing a holographic approach to gravity in asymptotically flat spacetime. These mode expansions are also of use in studying holography in three-dimensional de Sitter spacetime.
Keywords
Cite
@article{arxiv.2105.01026,
title = {Conformal Wave Expansions for Flat Space Amplitudes},
author = {Chang Liu and David A. Lowe},
journal= {arXiv preprint arXiv:2105.01026},
year = {2021}
}
Comments
20 pages, 1 figure