Anderson G.W., Blazek T. — E6 unification model building. III. Clebsch–Gordan coefficients in E6 tensor products of the 27 with higher dimensional representations
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Название: E6 unification model building. III. Clebsch–Gordan coefficients in E6 tensor products of the 27 with higher dimensional representations
Авторы: Anderson G.W., Blazek T.
Аннотация:
E6 is an attractive group for unification model building. However, the complexity
of a rank 6 group makes it nontrivial to write down the structure of higher dimensional
operators in an E6 theory in terms of the states labeled by quantum numbers
of the standard model gauge group. In this paper, we show the results of our
computation of the Clebsch–Gordan coefficients for the products of the 27 with
irreducible representations of higher dimensionality: 78, 351, 3518, 351, and 3518.
Application of these results to E6 model building involving higher dimensional
operators is straightforward