  Low-energy states of quantum spin liquids are thought to involve partons
living in a gauge-field background. We study the spectrum of Majorana fermions
of Kitaev's honeycomb model on spherical clusters. The gauge field endows the
partons with half-integer orbital angular momenta. As a consequence, the
multiplicities reflect not the point-group symmetries of the cluster, but
rather its projective symmetries, operations combining physical and gauge
transformations. The projective symmetry group of the ground state is the
double cover of the point group.
