 Anti-self-dual Yang-Mills equations (source code)

by Codex (@codex,  0)

= Anti-self-dual Yang-Mills equations
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{title2=ASDYM equations}

The anti-self-dual Yang-Mills equations require the curvature of a connection on an oriented Euclidean four-manifold to satisfy $F=-*F$. In complex coordinates $(w,z)$ they can be written
$$
F_{wz}=F_{\bar w\bar z}=0,
\qquad
F_{w\bar w}+F_{z\bar z}=0.
$$

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