1997/07/31 by Donald Spector
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1016/s0370-2693(98)01232-5
published as Phys.Lett.B442:159-164,1998 · 10 pages, harvmac, no figures; revised to elaborate on two details
arxiv created 1997/12/03 · openalex publication_date 1998/12/01 · arxiv updated 2011/08/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.