CPT groups for spinor field in de Sitter space

Abstract

A group structure of the discrete transformations (parity, time reversal and charge conjugation) for spinor field in de Sitter space are studied in terms of extraspecial finite groups. Two $CPT$ groups are introduced, the first group from an analysis of the de Sitter-Dirac wave equation for spinor field, and the second group from a purely algebraic approach based on the automorphism set of Clifford algebras. It is shown that both groups are isomorphic to each other.

7 pages

References in corpus (3)

• Discrete Symmetries for Spinor Field in de Sitter Space
• The CPT Group of the Dirac Field
• Group Theoretical Interpretation of the CPT-theorem

Cited by in corpus (8)

• Spinor Structure and Internal Symmetries
• CPT groups of higher spin fields
• Spherical functions on the de Sitter group
• Spinor Structure and Matter Spectrum
• Lorentz group and mass spectrum of elementary particles
• On algebraic structure of matter spectrum
• Group Theoretical Description of Mendeleev Periodic System
• Spinor Structure and Modulo 8 Periodicity