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Could McKay Correspondence Generalize in TGD Framework?

Matti Pitkänen


McKay correspondence states that the McKay graphs for the irreducible representations (irreps) of finite subgroups of G subset SU(2) characterizing their fusion algebra is given by extended Dynkin diagram of ADE type Lie group. Minimal conformal models with SU(2) Kac-Moody algebra (KMA) allow a classification by the same diagrams as fusion algebras of primary fields.  The resolution of  the singularities of complex algebraic surfaces in C3 by blowing implies the emergence of complex lines CP1. The intersection matrix for the CP1 is Dynkin diagram of ADE type Lie group. These results are highly inspiring concerning adelic TGD.

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