Anyon Statistics and the Witten Index
High Energy Physics - Theory
2011-08-12 v2
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.
Cite
@article{arxiv.hep-th/9707147,
title = {Anyon Statistics and the Witten Index},
author = {Donald Spector},
journal= {arXiv preprint arXiv:hep-th/9707147},
year = {2011}
}
Comments
10 pages, harvmac, no figures; revised to elaborate on two details