Anti-self-duality of gauge curvature
= Anti-self-duality of gauge curvature
{title2=$F=-*F$}
Anti-self-dual gauge curvature obeys $F=-*F$ in oriented Euclidean four-space. In the corresponding two-spinor convention it has vanishing symmetric primed curvature spinor. A matrix-valued two-form which is both self-dual and anti-self-dual is zero, because adding the two equations gives $2F=0$.