This article is cited in 40 papers

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

M. A. Vasiliev, O. V. Sheinkman

P. N. Lebedev Physical Institute, Russian Academy of Sciences

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 $AdS_3$ 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.

Received: 25.04.2001

DOI: 10.4213/tmf502

 English version: Theoretical and Mathematical Physics, 2001, 128:3, 1155–1168

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