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Higher Spin Conformal Symmetry for Matter Fields in 2+1 Dimensions

O. V. Shaynkman·M. A. Vasiliev
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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 $AdS_3$ case. The duality between non-unitary field-theoretical representations of the conformal algebra and the unitary (singleton--type) representations of the $3d$ conformal algebra $sp(4,\R)$ is formulated explicitly in terms of a certain Bogolyubov transform.

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O. V. Shaynkman, M. A. Vasiliev. 2001-07-13. Higher Spin Conformal Symmetry for Matter Fields in 2+1 Dimensions. https://arxiv.org/abs/hep-th/0103208

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