Av. Barabanschikov et al., FREE EQUATIONS FOR MASSIVE MATTER FIELDS IN (2-DIMENSIONAL ANTI-DE-SITTER SPACE FROM A DEFORMED OSCILLATOR ALGEBRA(1)), Theoretical and mathematical physics, 110(3), 1997, pp. 295-304
We reformulate the free equations of motion for massive spin-0 and spi
n-1/2 matter fields in (2+1)-dimensional anti-de Sitter space in the f
orm of some constant curvature conditions. The infinite-dimensional re
presentation of the anti-de Sitter algebra, which is basic to this for
mulation, admits a natural realization in terms of the algebra of defo
rmed ''oscillators'' with a deformation parameter related to the mass
parameter.