English

Classical and quantum particles from nongeneric conformal orbits

High Energy Physics - Theory 2023-07-27 v2

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).

Keywords

Cite

@article{arxiv.2207.12756,
  title  = {Classical and quantum particles from nongeneric conformal orbits},
  author = {Piotr Kosinski and Pawel Maslanka},
  journal= {arXiv preprint arXiv:2207.12756},
  year   = {2023}
}

Comments

20 pages, no figures

R2 v1 2026-06-25T01:13:58.885Z