Abstract
The exceptional closed operator algebras appearing in the d=2 conformally invariant SU(2) σ-model with Wess-Zumino term as the Kac-Moody central charge k A1 takes the values 10 and 28 are investigated by means of their four-point correlation functions. They are identified with the Spin(5) and G 2 σ-models with Wess-Zumino term and a Kac-Moody central charge equal to one in both cases. These are together with the case k A1 = 4, where an SU (3) model appears, the unique possibilities that a closed subalgebra of operators is in fact governed by the properties of another simple group.
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