High integer spins beyond the Fierz-Pauli Framework

Abstract

We explicitly construct in the (1/2,1/2)X(1/2,1/2) representation space the operator of the squared Pauli-Lubanski vector and derive from it that the -6m^{2}eigensubspace (spin 2 in the rest frame), with well defined parity, is pinned down by the one sole equation, [ε_{μαβσ} ε^μ_{νδρ}p^σp^ρ-m^{2}g_{αβ}g_{ν\del ta}]h^{βδ}=0$.