Abstract
We study the chiral flat space higher-spin algebra, which is the global symmetry algebra of the chiral higher-spin theory in the 4d Minkowski space. We find that it can be constructed as the universal enveloping algebra of a certain chiral deformation of the Poincaré algebra quotiented by a set of quadratic identities. These identities allow us to identify a representation of the latter algebra, which by analogy with the AdS space higher-spin holography, we interpret as the flat space singleton representation. We provide two explicit realisations of this singleton representation — in terms of sl(2, ℂ) spinors and in terms of oscillator-like variables — as well as briefly discuss its properties.
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Ponomarev, D. Towards higher-spin holography in flat space. J. High Energ. Phys. 2023, 84 (2023). https://doi.org/10.1007/JHEP01(2023)084
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DOI: https://doi.org/10.1007/JHEP01(2023)084