= Abelian field-strength chiral projection
{c}
{title2=$W_\alpha=-\tfrac14\bar D^2D_\alpha V$}
For an Abelian <vector superfield>, the <chiral field-strength superfield> is $W_\alpha=-\bar D^2D_\alpha V/4$. Three barred <supersymmetric covariant derivatives> vanish, proving $\bar D_{\dot\beta}W_\alpha=0$. This is a <chiral spinor superfield> with a <gaugino> as its lowest component. Phase and component signs depend on the stated <Wess-Zumino gauge> convention; the reality of $V$ alone does not fix those phase conventions.
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