Spin projection operators in (A)dS and partial masslessness

preprint2019arXivOpen access

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)(m/2,n/2 ), with mm and nn positive integers.

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