Speaker
Description
Half a century ago the first papers were published unifying the Standard Model gauge interactions by embedding the Standard Model gauge group, $G_{SM}$, in a larger group whose representations contain all of the known fundamental particles. This established the classic Grand Unified gauge groups, namely $\SU(5)$, $\Spin(10)$, and the Pati-Salam group $G_{PS}$, as the theoretical underpinnings of most GUTs. Armed with the knowledge that the underlying symmetry group of the gravitational interaction is non-compact, we explore a range of non-compact gauge groups that have $G_{SM}$ as a subgroup and the Standard Model fermions as representations. To this end we introduce into the mix $SU(2,3)$, $SL(5,C)$, $Spin(4,6)$, and $Spin(10,C)$, whose maximal compact subgroups are, respectively, the classic gauge groups $G_{SM}$, $SU(5)$, $G_{PS}$, and $Spin(10)$. These simple relations are the tip of the iceberg overlaying a rich geometric structure of intersecting gauge groups within $Spin(10,C)$, each of which acts naturally on the $\Lambda C^5$ representation of the Standard Model particle content. We show that all of the various descent paths from $Spin(10,C)$ through the intermediate subgroups to the Standard Model emerge from just three symmetry breaking mechanisms applied in different order. We then focus on the $Spin(4,6) \rightarrow SU(2,3) \rightarrow G_{SM}$ descent path, exploiting a dynamic Cartan Involution to construct a consistent QFT with positive definite Hamiltonian and positive norm, that reduces to the Standard Model in the low energy limit. We show that the resulting theory has a new mechanism that circumvents the demise of the classic GUTs by extending the lifetime of the proton.
| Presenter's Name | Andrew Randono |
|---|---|
| Presenter's Email Address | [email protected] |
| Recording Permission | YES |
| Virtual Audience Permission | YES |
| Event Photography | I understand |
