Conformally Covariant Vector-Spinor Field in de Sitter Space

TL;DR

This paper investigates the conformally invariant vector-spinor fields in de Sitter space, deriving solutions using de Sitter-Dirac plane waves and calculating two-point functions through ambient space and intrinsic coordinates.

Contribution

It introduces a conformally covariant formalism for vector-spinor fields in de Sitter space using Dirac's six-cone approach, providing explicit solutions and two-point functions.

Findings

Derived explicit solutions in de Sitter-Dirac plane waves

Calculated two-point functions in different formalisms

Established a conformally invariant framework for vector-spinor fields

Abstract

In this paper, we study the conformally invariant field equations for vector-spinor field in de Sitter space-time. The solutions are also obtained in terms of the de Sitter-Dirac plane waves. The related two-point functions are calculated in both de Sitter ambient space formalism and intrinsic de Sitter coordinate. In order to study the conformal invariance, Dirac s six-cone formalism is utilized in which the field equations are expressed in a manifestly conformal way in 4 + 2 dimensional conformal space and then followed by the projection to de Sitter space.