The genus-zero classification conjecture for N=2 super-Riemann surfaces

An $N=2$ super-Riemann surface with genus-zero compact body is an $N=2$ super-Riemann surface whose underlying compact body has genus zero. The $N=2$ super-Riemann sphere is denoted by $S^2 \hat{\mathbb{C}}$. Genus-zero classification conjecture. Any $N=2$ super-Riemann surface with genus-zero compact body is $N=2$ superconformally equivalent to the $N=2$ super-Riemann sphere $S^2 \hat{\mathbb{C}}$. If true, this would extend the paper's results from $N=2$ super-Riemann spheres to all $N=2$ superspheres with genus-zero compact body.