E-6 unification model building II. Clebsch-Gordan coefficients of 78 circle times 78

Citation
Gw. Anderson et T. Blazek, E-6 unification model building II. Clebsch-Gordan coefficients of 78 circle times 78, J MATH PHYS, 41(12), 2000, pp. 8170-8189
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
12
Year of publication
2000
Pages
8170 - 8189
Database
ISI
SICI code
0022-2488(200012)41:12<8170:EUMBIC>2.0.ZU;2-L
Abstract
We have computed the Clebsch-Gordan coefficients for the product (000 001)x (000 001), where (000 001) 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 sin glet operator in 27x78x (27) over bar in terms of multiplets of the Standar d Model gauge group. (C) 2000 American Institute of Physics. [S0022-2488(00 )03610-0].