Classical and quantum particles from nongeneric conformal orbits

Autor: Kosinski, Piotr, Maslanka, Pawel
Rok vydání: 2022
Předmět:
Zdroj: Nucl. Phys B991 116226 (2023)
Druh dokumentu: Working Paper
DOI: 10.1016/j.nuclphysb.2023.116226
Popis: 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).
Comment: 20 pages, no figures
Databáze: arXiv