Conformal Wave Expansions for Flat Space Amplitudes
arXiv:2105.01026 · doi:10.1007/JHEP07(2021)102
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.
arXiv comment20 pages, 1 figure
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