Publications by Steve Simon

How SU(2)4 Anyons are Z3 Parafermions

SciPost Physics SciPost 3 (2017) 037

R Fern, J Kombe, S Simon

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 quantum Hall state. We show that these braiding properties can be represented exactly using ${Z}_3$ parafermion operators.

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