Free Equations for Massive Matter Fields in 2+1 Dimensional Anti-de Sitter Space From Deformed Oscillator Algebra
A. V. Barabanschikov, S. F. Prokushkin, M. A. Vasiliev
Abstract
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 constantness 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.