  We describe the relation between vectors and spinors in complex spacetime in
an unconventional chirally asymmetric manner, using purely right-handed
spinors, with Minkowski spacetime getting Wick rotated to a four-dimensional
Euclidean spacetime with a distinguished direction. In this right-handed spinor
geometry self-dual two-forms can be used to get chiral formulations of the
Yang-Mills and general relativity actions. Euclidean spacetime left-handed
spinors then transform under an internal $SU(2)$ symmetry, rather than the
usual $SU(2)_L$ spacetime symmetry related by analytic continuation to the
Lorentz group $SL(2,\mathbf C)$.
