Neveu–Schwarz level-one massive tensor
= Neveu–Schwarz level-one massive tensor
{c}
{title2=$\Lambda^2(\mathbb R^{D-1})\downarrow SO(D-2)=\Lambda^2(\mathbb R^{D-2})\oplus\mathbb R^{D-2}$}
The unprojected level-one states form a transverse <vector representation> and an <exterior square>. Fermionic anticommutation makes the two-fermion states antisymmetric. Together they restrict from an antisymmetric rank-two tensor of $SO(D-1)$, not a <massive spin-two field>.