Geodesic
Free equations for massive matter fields in $2+1$-dimensional anti-de Sitter space from deformed oscillator algebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 3, pp. 372-384 
A. V. Barabanschikov; M. A. Vasiliev; S. F. Prokushkin. Free equations for massive matter fields in $2+1$-dimensional anti-de Sitter space from deformed oscillator algebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 110 (1997) no. 3, pp. 372-384. http://geodesic.mathdoc.fr/item/TMF_1997_110_3_a2/
@article{TMF_1997_110_3_a2,
     author = {A. V. Barabanschikov and M. A. Vasiliev and S. F. Prokushkin},
     title = {Free equations for massive matter fields in $2+1$-dimensional {anti-de~Sitter} space from deformed oscillator algebra},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {372--384},
     year = {1997},
     volume = {110},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_110_3_a2/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We reformulate free equations of motion for massive spin 0 and spin 1/2 matter fields in $2+1$-dimensional anti-de Sitter space in the form of some covariant constancy conditions. The infinite-dimensional representation of the anti-de Sitter algebra underlying this formulation is shown to admit a natural realization in terms of the algebra of deformed oscillators with a deformation parameter related to the parameter of mass.

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