Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
Added a more recent reference
added pointer to today’s
and this text:
The exact gauge group of the standard model of particle physics (see there) is isomorphic to the subgroup of the Jordan algebra automorphism group of the octonionic Albert algebra that “stabilizes a 4d sub-Minkowski spacetime” (see there for details).
More concretely, it is identified with the subgroup of Spin(9) which respects a splitting $\mathbb{H} \oplus \mathbb{H} \simeq_{\mathbb{R}} \mathbb{C} \oplus \mathbb{C}^3$ (Krasnov 19)
A couple more references
Thomas Friedrich, Weak Spin(9)-Structures on 16-dimensional Riemannian Manifolds, (arXiv:math/9912112)
Maurizio Parton, Paolo Piccinni, Spin(9) and almost complex structures on 16-dimensional manifolds, (arXiv:1105.5318)
1 to 4 of 4