  We study a $U(N|M)$ supermatrix Chern-Simons model with an $SU(p|q)$ internal
symmetry. We propose that the model describes a system consisting of $N$
vortices and $M$ antivortices involving $SU(p|q)$ internal spin degrees of
freedom. We present both classical and quantum ground state solutions, and
demonstrate the relation to Calogero models. We present evidence that a large
$N$ limit describes $SU(p|q)$ WZW models. In particular, we derive
$\widehat{\mathfrak{su}}(p|q)$ Kac-Moody algebras. We also present some results
on the calculation of the partition function involving a supersymmetric
generalization of the Hall-Littlewood polynomials, indicating the mock modular
properties.
