Report

PUBDB-2022-08076

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Field operators for anyons and plektons

Rehren, K.-H. (Corresponding author)

1992

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Please use a persistent id in citations: doi:10.3204/PUBDB-2022-08076

Report No.: DESY-91-043

Abstract: Given its superselection sectors with non-abelian braid group statistics, we extend the algebraA of local observables into an algebra $ℱ$ containing localized intertwiner fields which carry the superselection charges. The construction of the inner degrees of freedom, as well as the study of their transformation properties (quantum symmetry), are entirely in terms of the superselection structure of the observables. As a novel and characteristic feature for braid group statistics, Clebsch-Gordan and commutation “coefficients” generically take values in the algebra $ℳ$ of symmetry operators, much as it is the case with quasi-Hopf symmetry.A, $ℱ$, and $ℳ$ are all $C** algebras, i.e. represented by bounded operators on a Hilbert space with positive metric.

Keyword(s): axiomatic field theory: superselection rule ; operator: algebra ; algebra: C* ; Clebsch-Gordan coefficients ; braid group ; postulated particle: anyon ; postulated particle: plekton

Note: Theorie

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Experiment(s):

1. No specific instrument

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Rehren, K.-H. (Corresponding author)
Field operators for anyons and plektons
Communications in mathematical physics 145(1), 123 - 148 (1992) [10.1007/BF02099283]1992     Files BibTeX | EndNote: XML, Text | RIS

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