Geodesic
Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 3, pp. 378-394

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TMF_2001_128_3_a3,
     author = {M. A. Vasiliev and O. V. Sheinkman},
     title = {Conformal {Higher-Spin} {Symmetry} for {Matter} {Fields} in $2+1$ {Dimensions}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {378--394},
     publisher = {mathdoc},
     volume = {128},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_128_3_a3/}
}
TY  - JOUR
AU  - M. A. Vasiliev
AU  - O. V. Sheinkman
TI  - Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2001
SP  - 378
EP  - 394
VL  - 128
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2001_128_3_a3/
LA  - ru
ID  - TMF_2001_128_3_a3
ER  - 
%0 Journal Article
%A M. A. Vasiliev
%A O. V. Sheinkman
%T Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2001
%P 378-394
%V 128
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2001_128_3_a3/
%G ru
%F TMF_2001_128_3_a3
M. A. Vasiliev; O. V. Sheinkman. Conformal Higher-Spin Symmetry for Matter Fields in $2+1$ Dimensions. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 3, pp. 378-394. http://geodesic.mathdoc.fr/item/TMF_2001_128_3_a3/