The \(E_ 7\) commuting squares produce \(D_{10}\) as principal graph
Summary: We prove that the (two) connections, or commuting squares, on the Coxeter-Dynkin diagram \(E_ 7\) produce a subfactor with principal graph \(D_{10}\). This was conjectured by J.-B. Zuber in connection with modular invariants in conformal field theory, and solve the last case of computing the flat parts of the connections on Coxeter-Dynkin diagrams with index less than 4.
modular invariants in conformal field theory
scientific article; zbMATH DE number 621971
scientific article