Calabi-Yau Manifolds and the Standard Model
| dc.creator | Baez, John C. | |
| dc.date | 2005-11-08 | |
| dc.date | 2005-11-09 | |
| dc.date.accessioned | 2026-07-07T06:50:17Z | |
| dc.date.available | 2026-07-07T06:50:17Z | |
| dc.description | For any subgroup G of O(n), define a "G-manifold" to be an n-dimensional Riemannian manifold whose holonomy group is contained in G. Then a G-manifold where G is the Standard Model gauge group is precisely a Calabi-Yau manifold of 10 real dimensions whose tangent spaces split into orthogonal 4- and 6-dimensional subspaces, each preserved by the complex structure and parallel transport. In particular, the product of Calabi-Yau manifolds of dimensions 4 and 6 gives such a G-manifold. Moreover, any such G-manifold is naturally a spin manifold, and Dirac spinors on this manifold transform in the representation of G corresponding to one generation of Standard Model fermions and their antiparticles. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0511086 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0511086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104627 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Calabi-Yau Manifolds and the Standard Model | |
| dc.type | text |