Conformal Wave Expansions for Flat Space Amplitudes
Chang Liu, David A. Lowe
TL;DR
This paper develops conformal wave expansions for massive scalar fields in Minkowski spacetime, utilizing SO(3,1) principal series representations to facilitate holographic approaches to flat and de Sitter spacetimes.
Contribution
It introduces a new mode expansion framework for massive scalars that respects conformal symmetry, aiding holographic studies in flat and de Sitter spaces.
Findings
Mode expansions realize SO(3,1) symmetry explicitly.
Facilitates holographic analysis of flat spacetime.
Applicable to three-dimensional de Sitter holography.
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.
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