Conformal wave expansions for flat space amplitudes
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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.
2012 ◽
Vol 56
(1)
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pp. 38-42
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2016 ◽
Vol 25
(01)
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pp. 1650007
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2013 ◽
Vol 11
(01)
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pp. 1450006
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2014 ◽
Vol 23
(04)
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pp. 1450035
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