Journal article
How SU(2)4 Anyons are Z3 Parafermions
- Abstract:
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Version of record, pdf, 217.6KB)
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- Publisher copy:
- 10.21468/SciPostPhys.3.6.037
Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Grant:
EP/I031014/1
EP/N01930X/1
Bibliographic Details
- Publisher:
- SciPost Publisher's website
- Journal:
- SciPost Physics Journal website
- Volume:
- 3
- Issue:
- 6
- Article number:
- 037
- Publication date:
- 2017-12-09
- Acceptance date:
- 2017-11-22
- DOI:
- EISSN:
-
2542-4653
Item Description
- Keywords:
- Pubs id:
-
pubs:747477
- UUID:
-
uuid:a93dc53d-84ed-4e53-9340-7913fb4a805b
- Local pid:
- pubs:747477
- Source identifiers:
-
747477
- Deposit date:
- 2017-11-22
Terms of use
- Copyright holder:
- Fern, Kombe, and Simon
- Copyright date:
- 2017
- Notes:
- Copyright R. Fern et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
- Licence:
- CC Attribution (CC BY)
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