Spin projection operators in (A)dS and partial masslessness

TL;DR

This paper studies spin projection operators in (A)dS spaces, revealing their poles correspond to partially massless fields and deriving factorisations of conformal operators for gauge fields of various types.

Contribution

It provides a detailed analysis of spin projectors in (A)dS spaces and introduces a factorisation of conformal operators for gauge fields of arbitrary Lorentz type.

Findings

Poles of spin projectors correspond to partially massless fields.

Factorisation of conformal operators for gauge fields of arbitrary Lorentz type.

Enhanced understanding of gauge field operators in (A)dS spaces.

Abstract

We elaborate on the traceless and transverse spin projectors in four-dimensional de Sitter and anti-de Sitter spaces. The poles of these projectors are shown to correspond to partially massless fields. We also obtain a factorisation of the conformal operators associated with gauge fields of arbitrary Lorentz type $(m/2,n/2 )$, with $m$ and $n$ positive integers.