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Simple WZW superselection sectors
Authors:Jürgen Fuchs  Alexander Ganchev  Peter Vecsernyés
Institution:(1) Theory Division, CERN, Genève 23, CH-1211, Switzerland;(2) Sezione di Trieste, Istituto Nazionale di Fisica Nucleare, Trieste, Italy;(3) Central Research Institute for Physics, H-1525 Budapest, Hungary;(4) Present address: Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria
Abstract:The superselection structure of simple currents of chiral Wess-Zumino-Witten theories, at arbitrary valuek isin Nopf 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.
Keywords:16W30  17B37  81T05
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