Spin projection operators in (A)dS and partial masslessness

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.

12 pages, V2: references and comments added

References in corpus (5)

• Current Exchanges and Unconstrained Higher Spins
• Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Arbitrary spin conformal fields in (A)dS
• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity