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Quantum symmetry associated with braid group statistics

  • VI. Quantum Groups and Symmetries in Quantum Field Theory
  • Conference paper
  • First Online:
Quantum Groups

Part of the book series: Lecture Notes in Physics ((LNP,volume 370))

Abstract

We discuss the concept of “duality” between statistics and symmetry. While a compact symmetry group is dual to permutation group statistics, the understanding of the symmetry structure dual to braid group statistics is only at its beginning. We use the duality to identify a “first approximation” to this structure and the corresponding algebra of charged fields.

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Authors and Affiliations

  1. Instituut voor Theoretische Fysica, RU Utrecht, P.O.B. 80.006, NL-3508, TA Utrecht, The Netherlands

    K. -H. Rehren

Authors
  1. K. -H. Rehren
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H. -D. Doebner J. -D. Hennig

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© 1990 Springer-Verlag

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Rehren, K.H. (1990). Quantum symmetry associated with braid group statistics. In: Doebner, H.D., Hennig, J.D. (eds) Quantum Groups. Lecture Notes in Physics, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53503-9_52

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  • DOI: https://doi.org/10.1007/3-540-53503-9_52

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53503-4

  • Online ISBN: 978-3-540-46647-5

  • eBook Packages: Springer Book Archive

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