  Let $M$ be a super Riemann surface with holomorphic distribution
$\mathcal{D}$ and $N$ a symplectic manifold with compatible almost complex
structure $J$. We call a map $\Phi\colon M\to N$ a super $J$-holomorphic curve
if its differential maps the almost complex structure on $\mathcal{D}$ to $J$.
Such a super $J$-holomorphic curve is a critical point for the superconformal
action and satisfies a super differential equation of first order. Using
component fields of this super differential equation and a transversality
argument we construct the moduli space of super $J$-holomorphic curves as a
smooth subsupermanifold of the space of maps $M\to N$.
