Abstract
The extended BMS algebra contains a conformal subgroup that acts on the celestial sphere as SO(1, 3). 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(1, 3) 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.
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Liu, C., Lowe, D.A. Conformal wave expansions for flat space amplitudes. J. High Energ. Phys. 2021, 102 (2021). https://doi.org/10.1007/JHEP07(2021)102
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DOI: https://doi.org/10.1007/JHEP07(2021)102