Extension Bundles and the Standard Model
| dc.creator | Andreas, Bjorn | |
| dc.creator | Curio, Gottfried | |
| dc.date | 2007-03-23 | |
| dc.date | 2007-09-06 | |
| dc.date.accessioned | 2026-07-07T11:44:11Z | |
| dc.date.available | 2026-07-07T11:44:11Z | |
| dc.description | We construct a new class of stable vector bundles suitable for heterotic string compactifications. Using these we describe a novel way to derive the fermionic matter content of the Standard Model from the heterotic string. For this we compactify on an elliptically fibered Calabi-Yau threefold X with two sections, the B-fibration, a variant of the ordinary Weierstrass fibration, which allows X to carry a free involution. We construct rank five vector bundles, invariant under this involution, such that turning on a Wilson line we obtain the Standard Model gauge group and find various three generation models. This rank five bundle is derived from a stable rank four bundle that arises as an extension of bundles pulled-back from the base and twisted by suitable line bundles. We also give an account of various previous results and put the present construction into perspective. | |
| dc.description | 31 pages, harvmac, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0703210 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0703210 | |
| dc.identifier | JHEP0707:053,2007 | |
| dc.identifier | doi:10.1088/1126-6708/2007/07/053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/201515 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Extension Bundles and the Standard Model | |
| dc.type | text |