  We extend the analysis of the Vafa $\mathcal{N}=4$ SUSY model of FQHE and
discuss other observables which characterize the FQHE topological order. We
consider in particular the braiding properties of quasi-holes with generic
charge. As one naturally expects, any quasi-hole is associated with an
irreducible representation of $SU(2)$ and the statistics of a bunch of $d$
punctures is described by the Knizhnik-Zamolodchikov connection specialized to
the corresponding representation. We also discuss the higher genus
generalization of the Vafa model of FQHE and the corresponding $tt^{*}$
geometry.
