Discrete Symmetries for Spinor Field in de Sitter Space

TL;DR

This paper explores how discrete symmetries such as parity, time reversal, and charge conjugation operate on spinor fields in de Sitter space using a coordinate-independent ambient space notation, including their effects on five-current densities.

Contribution

It introduces a coordinate-independent framework for discrete symmetries of spinor fields in de Sitter space, including PT and PCT transformations and their impact on current densities.

Findings

Discrete symmetries are formulated in ambient space notation.

PT and PCT transformations are characterized in this framework.

Transformation properties of five-current densities are analyzed.

Abstract

Discrete symmetries, parity, time reversal, antipodal, and charge conjugation transformations for spinor field in de Sitter space, are presented in the ambient space notation, i.e. in a coordinate independent way. The PT and PCT transformations are also discussed in this notation. The five-current density is studied and their transformation under the discrete symmetries is discussed.