Higher Spin Conformal Symmetry for Matter Fields in 2+1 Dimensions
Abstract
A simple realization of the conformal higher spin symmetry on the free 3d massless matter fields is given in terms of an auxiliary Fock module both in the flat and AdS3 case. The duality between non-unitary field-theoretical representations of the conformal algebra and the unitary (singleton--type) representations of the 3d conformal algebra sp(4,) is formulated explicitly in terms of a certain Bogolyubov transform.
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