Speaker
Description
$E_6$ Grand Unified Theories introduce novel symmetry-breaking patterns compared to the more common $SU(5)$ and $SO(10)$ GUT. We explore in this talk how $SU(3)^3$ (trinification), $SU(6)\times SU(2)$ and $SO(10)\times U(1)$ symmetries can explicitly arise from $E_6$ at an intermediate breaking stage.
Due to perturbative limitations associated with very large $E_{6}$ representations, the $650$ emerges as the unique candidate for breaking into one of the novel symmetries. We find suitable minima of its scalar potential and subsequently construct a complete model with the scalar sector $27+351'+650$.
The model facilitates a two-stage breaking to the Standard Model alongside a realistic Yukawa sector. We determine for each novel breaking pattern the intermediate effective theory consistent with the extended survival hypothesis (and a $\mathbb{Z}_2$ parity that gives a dark matter candidate), and analyze unification constraints and proton decay lifetime for these minimal scenarios.
| Alternate track | 10. Formal Theory |
|---|---|
| I read the instructions above | Yes |
