Classical and quantum particles from nongeneric conformal orbits

Abstract

The nongeneric six- and eightdimensional orbits of SO(4,2) are described in explicitly covariant way. The relevant Hamiltonian dynamical systems are constructed and canonically quantized. It is shown that the resulting unitary representations of conformal group fit into the classification described by Mack (G. Mack, Comm. Math. Phys. 55 (1977),1).

arXiv comment20 pages, no figures

References in corpus (17)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
• Geometrical Spinoptics and the Optical Hall Effect
• Chiral fermions as classical massless spinning particles
• Masslessness in $n$-dimensions
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• Notes on higher-spin algebras: minimal representations and structure constants
• Wigner-Souriau translations and Lorentz symmetry of chiral fermions
• Lorentz transformations, sideways shift and massless spinning particles
• Interaction Vertex for Classical Spinning Particles
• Coadjoint Orbits, Spin and Dequantization
• Localizability, gauge symmetry and Newton-Wigner operator for massless particles
• A Covariant Formulation of Classical Spinning Particle
• Derivation of the Classical Lagrangian for the Relativistic Spinning Particle
• Conformal symmetry, chiral fermions and semiclassical approximation
• Polyakov's Spin Factor for a Classical Spinning Particle via BRST Invariant Path Integral
• The covariance of chiral fermions theory

Cited by in corpus (1)

• Manifestly Covariant Worldline Actions from Coadjoint Orbits. Part I: Generalities and Vectorial Descriptions