Journal Article PUBDB-2017-09090

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Field operators for anyons and plektons



1992
Springer Berlin

Communications in mathematical physics 145(1), 123 - 148 () [10.1007/BF02099283]
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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.

Classification:

Note: Theorie

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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Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; NationallizenzNationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection
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Field operators for anyons and plektons
28 pp. () [10.3204/PUBDB-2022-08076]  GO OpenAccess  Download fulltext Files BibTeX | EndNote: XML, Text | RIS


 Record created 2017-08-10, last modified 2025-08-04


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