# The Spin-Statistics Theorem for Anyons and Plektons in $d=2+1$

January 23, 2008

We prove the spin-statistics theorem for massive particles obeying braid group statistics in three-dimensional Minkowski space. We start from first principles of local relativistic quantum theory. The only assumption is a gap in the mass spectrum of the corresponding charged sector, and a restriction on the degeneracy of the corresponding mass.

open access link
Commun.Math.Phys.286:1159-1180,2009

@article{Mund:2008hn,
author = "Mund, Jens",
title = "{The Spin-Statistics Theorem for Anyons and Plektons in
d=2+1}",
journal = "Commun. Math. Phys.",
volume = "286",
year = "2009",
pages = "1159-1180",
doi = "10.1007/s00220-008-0628-9",
eprint = "0801.3621",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:0801.3621;%%"
}

Keywords:

low dimensional QFT, exotic statistics