E_6 unification model building III. Clebsch-Gordan coefficients in E_6 tensor products of the 27 with higher dimensional representations
| dc.creator | Anderson, Gregory W. | |
| dc.creator | Blazek, Tomas | |
| dc.date | 2001-01-31 | |
| dc.date.accessioned | 2026-07-07T03:43:47Z | |
| dc.date.available | 2026-07-07T03:43:47Z | |
| dc.description | $E_6$ is an attractive group for unification model building. However, the complexity of a rank 6 group makes it non-trivial to write down the structure of higher dimensional operators in an $E_6$ 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 {\bf 27} with irreducible representations of higher dimensionality: ${\bf 78}$, ${\bf 351}$, ${\bf 351^\prime}$, ${\bf \ol{351}}$, and ${\bf \ol{351^\prime}}$. Application of these results to $E_6$ model building involving higher dimensional operators is straightforward. | |
| dc.description | 44 pages, 31 tables | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0101349 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0101349 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/40356 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | E_6 unification model building III. Clebsch-Gordan coefficients in E_6 tensor products of the 27 with higher dimensional representations | |
| dc.type | text |