We construct a Hamiltonian for $N$ anyons moving on the two-sphere. We show why the anyonic gauge coupling must satisfy a Dirac quantization condition, reproducing the braiding constraint on the statistical parameter. We then give a perturbative analysis of the $N$-body spectrum near Bose statistics.

• Received 6 August 1991

DOI:https://doi.org/10.1103/PhysRevD.45.709