Weyl curvature spinor
= Weyl curvature spinor
{c}
{title2=$\Psi_{ABCD}=\Psi_{(ABCD)}$}
The totally symmetric unprimed four-index spinor represents one chiral part of the <Weyl tensor>. The other part is represented by a primed spinor, conjugate to the unprimed one on a Lorentzian real slice. The trace-free symmetry separates conformal curvature from the <Ricci tensor> and scalar-curvature terms.