= Solution
A four-dimensional $\mathcal N=1$ <chiral superfield> is a complex scalar <superfield> satisfying
$$
\boxed{\bar D_{\dot\alpha}\Phi=0\quad(\dot\alpha=1,2).}
$$
The <supersymmetric covariant derivatives> anticommute with the <supercharges>, so the constraint is preserved by <supersymmetry>. Use <left Grassmann derivatives> and the printed convention $\bar D_{\dot\alpha}=-\bar\partial_{\dot\alpha}-i\theta^\beta\sigma^\mu_{\beta\dot\alpha}\partial_\mu$. The conjugate <antichiral superfield> satisfies $D_\alpha\Phi^\dagger=0$.
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