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

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

2001-03-24

arxiv.org/abs/hep-th/0103208v2

Theor.Math.Phys. 128 (2001) 1155-1168; Teor.Mat.Fiz. 128 (2001) 378-394

Physics

High Energy Physics

High Energy Physics - Theory

Minor corrections: report number is changed

Scientific paper

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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