How SU(2)$_4$ Anyons are Z$_3$ Parafermions

We consider the braid group representation which describes the non-abelian braiding statistics of the spin $1/2$ particle world lines of an SU(2)$_4$ Chern-Simons theory. Up to an abelian phase, this is the same as the non-Abelian statistics of the elementary quasiparticles of the $k=4$ Read-Rezayi...

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Bibliographic Details
Main Author: Richard Fern, Johannes Kombe, Steven H. Simon
Format: Article
Language:English
Published: SciPost 2017-12-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.3.6.037