Letters in Mathematical Physics

, Volume 28, Issue 1, pp 31–41 | Cite as

Simple WZW superselection sectors

  • Jürgen Fuchs
  • Alexander Ganchev
  • Peter Vecsernyés
Article
Received:

Abstract

The superselection structure of simple currents of chiral Wess-Zumino-Witten theories, at arbitrary valuek ∈ ℕ of the corresponding affine Lie algebra, is described in terms of explicit localizable automorphisms of the affine algebra. These automorphisms are induced by certain Dynkin diagram automorphisms; under composition, they form an Abelian group isomorphic to the center of the relevant simply connected simple Lie group and, hence, reproduce the WZW fusion rules.

Mathematics Subject Classifications (1991)

16W30 17B37 81T05 
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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Jürgen Fuchs
    • 1
  • Alexander Ganchev
    • 2
  • Peter Vecsernyés
    • 3
  1. 1.Theory DivisionCERNSwitzerland
  2. 2.Sezione di TriesteIstituto Nazionale di Fisica NucleareTriesteItaly
  3. 3.Central Research Institute for PhysicsBudapestHungary

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