  The Kalmeyer-Laughlin state, which is a lattice version of the bosonic
Laughlin state at filling factor one half, has attracted much attention due to
its topological and chiral spin liquid properties. Here we show that the
Kalmeyer-Laughlin state on the torus can be expressed in terms of a correlator
of conformal fields from the $SU(2)_1$ Wess-Zumino-Witten model. This reveals
an interesting underlying mathematical structure and provides a natural way to
generalize the Kalmeyer-Laughlin state to arbitrary lattices on the torus. We
find that the many-body Chern number of the states is unity for more different
lattices, which suggests that the topological properties of the states are
preserved when the lattice is changed. Finally, we analyze the symmetry
properties of the states on square lattices.
