Anyon Statistics and the Witten Index
arXiv:hep-th/9707147 · doi:10.1016/S0370-2693(98)01232-5
Abstract
Using the theory of supersymmetric anyons, I extend the definition of the Witten index to 2+1 dimensions so as to accommodate the existence of anyon spin and statistics. I then demonstrate that, although in general the index receives irrational and complex contributions from anyonic states, the overall index is always integral, and I consider some of the implications and interpretations of this result.
10 pages, harvmac, no figures; revised to elaborate on two details