  We propose a set of spin system wavefunctions that are very similar to
lattice versions of the Laughlin states. The wavefunction are conformal blocks
of conformal field theories, and for filling factor \nu=1/2 we provide a parent
Hamiltonian, which is valid for any even number of spins and is at the same
time a 2D generalization of the Haldane-Shastry model. We also demonstrate that
the Kalmeyer-Laughlin state is reproduced as a particular case of this model.
Finally, we discuss various properties of the spin states and point out several
analogies to known results for the Laughlin states.
