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Simple WZW currents. (English) Zbl 0736.17033

Summary: A complete classification of simple currents of WZW theories is obtained. The proof is based on an analysis of the quantum dimensions of the primary fields. Simple currents are precisely the primaries with unit quantum dimension; for WZW theories explicit formulae for the quantum dimensions can be derived so that an identification of the fields with unit quantum dimension is possible.

MSC:

17B81 Applications of Lie (super)algebras to physics, etc.
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