Spinning particle in six dimensions

Massive spinning particle in 6d-Minkowski space is described as a mechanical system with the configuration space R-5,R-1 X CP3. The action functional of the model is unambiguously determined by the requirement of identical (off-shell) conservation for the phase-space counterparts of three Casimir operators of the Poincare group. The model proves to be completely solvable. Its generalization to the constant curvature background is presented. Canonical quantization of the theory leads to the relativistic wave equations for the irreducible 6d fields. (C) 1997 American Institute of Physics.