Abstract
A simple realization of the conformal higher-spin symmetry on the free massless matter fields in three dimensions is given in terms of an auxiliary Fock module both in the flat and in the AdS3 case. The duality between nonunitary field theory representations of the conformal algebra and the unitary (singleton-type) representations of the 3d conformal algebra sp(4,\(\mathcal{R}\) is formulated explicitly in terms of a certain Bogoliubov transformation.
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Vasiliev, M.A., Shaynkman, O.V. Conformal Higher-Spin Symmetry for Matter Fields in 2+1 Dimensions. Theoretical and Mathematical Physics 128, 1155–1168 (2001). https://doi.org/10.1023/A:1012399417069
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DOI: https://doi.org/10.1023/A:1012399417069