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This article is cited in 39 scientific papers (total in 39 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
Citation:
M. A. Vasiliev, O. V. Sheinkman, “Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions”, TMF, 128:3 (2001), 378–394; Theoret. and Math. Phys., 128:3 (2001), 1155–1168
Linking options:
https://www.mathnet.ru/eng/tmf502https://doi.org/10.4213/tmf502 https://www.mathnet.ru/eng/tmf/v128/i3/p378
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Abstract page: | 1083 | Full-text PDF : | 208 | References: | 44 | First page: | 1 |
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