Abstract
We prove the flat space analogue of the Flato-Fronsdal theorem. It features the flat space singleton representation suggested recently. We do that by deriving a kernel that intertwines a pair of singleton representations with massless higher-spin fields in flat space. Next, we derive two-point functions of flat space singletons, which are then used to construct two- and three-point scattering amplitudes in the dual theory of massless higher-spin fields. These amplitudes agree with amplitudes in the chiral higher-spin theory.
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Ponomarev, D. Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem and lower-point functions. J. High Energ. Phys. 2023, 48 (2023). https://doi.org/10.1007/JHEP01(2023)048
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DOI: https://doi.org/10.1007/JHEP01(2023)048