E_6 unification model building II. Clebsch-Gordan coefficients of 78$\otimes$78

Abstract

We have computed the Clebsch-Gordan coefficients for the product (000001) $\otimes$ (000001), where (000001) is the adjoint 78-dimensional representation of $E_6$. The results are presented for the dominant weights of the irreducible representations in this product. As a simple application we express the singlet operator in $27\otimes 78\otimes \overline{27}$ in terms of multiplets of the Standard Model gauge group.

27 pages, Latex

References in corpus (2)

• $E_6$ unification model building I: Clebsch-Gordan coefficients of $27\otimes \ol{27}$
• E_6 unification model building III. Clebsch-Gordan coefficients in E_6 tensor products of the 27 with higher dimensional representations

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