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24 October 2021
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Higher Spin Conformal Symmetry for Matter Fields in 2+1 Dimensions
O.V. Shaynkman ; M.A. Vasiliev ;
Date 24 Mar 2001
Journal Theor.Math.Phys. 128 (2001) 1155-1168; Teor.Mat.Fiz. 128 (2001) 378-394
Subject hep-th
AbstractA 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.
Source arXiv, hep-th/0103208
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