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Conformal Wave Expansions for Flat Space Amplitudes

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arxiv 2105.01026 v1 pith:OUPMVWXS submitted 2021-05-03 hep-th

classification hep-th
keywords expansionsmodespacetimeconformalfieldsflatperformacts
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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.

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  1. Carrollian Dictionary for Massive Particles at Null Infinity

    hep-th 2026-08 conditional novelty 7.0 of 10

    Massive one-particle states are encoded on null infinity by projecting their momenta onto null frames, giving an isometric map into the complete Carrollian representation.

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