Strings in twistor superspace and mirror symmetry

We obtain the super-Landau-Ginzburg mirror of the A-twisted topological sigma model on a twistor superspace-the quadric in CP3|3×CP3|3 which is a Calabi-Yau supermanifold. We show that the B-model mirror has a geometric interpretation. In a particular limit for one of the Kähler parameters of the quadric, we show that the mirror can be interpreted as the twistor superspace CP3|4. This agrees with the recent conjecture of Neitzke and Vafa proposing a mirror equivalence between the two twistor superspaces.