Spinning Particle Dynamics on Six-Dimensional Minkowski Space

Abstract

Massive spinning particle in $6d$-Minkowski space is described as a mechanical system with the configuration space $R^{5,1}\times C{P}^3$. 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 Poincaré 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.

21 pages, LaTeX

References in corpus (3)

• A Universal Model of D=4 Spinning Particle
• A Geometric Model of Arbitrary Spin Massive Particle
• Arbitrary Superspin Massive Superparticles

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• Consistent Non-Minimal Couplings of Massive Higher-Spin Particles
• Higher-Spin Modes in a Domain-Wall Universe
• Massive Spinning Particle in Any Dimension I. Integer Spins
• World sheets of spinning particles
• A uniform model of the massive spinning particle in any dimension
• On the world sheet of continuous helicity particle