Getting back Maxwell's vector equations from their spinor version

[grzz]

TL;DR

Maxwell's em spinor equation in free space is partial^AA' phi_AB =.0. I.am trying to derive the corresponding vector equations.

partial^AA' phi_AB =.0.
I need some hints on how to find suitable components of phi_AB in terms the components of the electric and magnetic fields.
Thanks.

 

[renormalize]

TL;DR: Maxwell's em spinor equation in free space is partial^AA' phi_AB =.0. I.am trying to derive the corresponding vector equations.

Two requests: 1) can you please format your spinor equations using LaTeX (guiding information is at left below) and 2) cite the reference in which you find these equations. Thanks.