Anyon Statistics and the Witten Index

Details Anyon Statistics and the Witten Index Anyon Statistics and the Witten Index

1997-07-16

arxiv.org/abs/hep-th/9707147v2

Phys.Lett.B442:159-164,1998

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, harvmac, no figures; revised to elaborate on two details

Scientific paper

10.1016/S0370-2693(98)01232-5

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.

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