Exceptional Operator Algebras in the Conformally Invariant SU(2) Wess-Zumino-Witten Model

摘要

The exceptional closed operator algebras appearing in the d=2 conformally invariant SU(2) sigma-model with Wess-Zumino term as the Kac-Moody central charge k/sub A1/ takes the values 10 and 28 are investigated. They are identified with the Spin(5) and G/sub 2/ sigma-models with Wess-Zumino term and a Kac-Moody central charge equal to one in both cases. These are together with the case k/sub A1/=1, 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. (ERA citation 13:004885)