Simple WZW superselection sectors |
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Authors: | Jürgen Fuchs Alexander Ganchev Peter Vecsernyés |
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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 |
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Abstract: | The superselection structure of simple currents of chiral Wess-Zumino-Witten theories, at arbitrary valuek 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. |
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Keywords: | 16W30 17B37 81T05 |
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