Free Equations for Massive Matter Fields in 2+1 Dimensional Anti-de Sitter Space From Deformed Oscillator Algebra
A.V. Barabanschikov, S.F. Prokushkin, and M.A. Vasiliev
TL;DR
This paper presents a reformulation of free equations for massive matter fields in 2+1D anti-de Sitter space using deformed oscillator algebra, providing a covariant constantness condition framework.
Contribution
It introduces a novel algebraic approach to describe massive matter fields in AdS3 via deformed oscillators, linking algebraic deformation to particle mass.
Findings
Reformulation of equations as covariant constantness conditions
Realization of AdS algebra through deformed oscillator algebra
Connection between deformation parameter and particle mass
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.
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