Covariant representations of the de Sitter isometry group

Abstract

We show that the induced representations of the de Sitter isometry group proposed many years ago by Nachtmann are equivalent to those derived from our general theory of external symmetry. These methods complete each other leading to a coherent theory of covariant fields with spin on the de Sitter spacetime. Some technical details of these representations are presented here for the first time.

15 pages no figures

References in corpus (3)

• A Maximally Symmetric Vector Propagator
• The physical meaning of the de Sitter invariants
• New Dirac quantum modes in moving frames of the de Sitter spacetime

Cited by in corpus (9)

• Production of scalar particles in electric field on de Sitter expanding Universe
• Rest frames and relativistic effects on de Sitter spacetimes
• Canonical quantization of the covariant fields on de Sitter spacetimes
• Time evolution of the free Dirac field in spatially flat FLRW space-times
• Flat limit of the de Sitter QFT in the rest frame vacuum
• Isometry generators in momentum representation of the Dirac theory on the de Sitter spacetime
• Covariant fields on anti-de Sitter spacetimes
• Acceleration in de Sitter spacetimes
• Simple kinematic effects on de Sitter expanding universe