A Tour through Non-Associative Geometry
| dc.creator | Wulkenhaar, Raimar | |
| dc.date | 1996-07-11 | |
| dc.date | 1997-02-10 | |
| dc.date.accessioned | 2026-07-07T09:04:24Z | |
| dc.date.available | 2026-07-07T09:04:24Z | |
| dc.description | We develop a mathematical concept towards gauge field theories based upon a Hilbert space endowed with a representation of a skew-adjoint Lie algebra and an action of a generalized Dirac operator. This concept shares common features with the non-commutative geometry a la Connes/Lott, differs from that, however, by the implementation of skew-adjoint Lie algebras instead of unital associative *-algebras. We present the physical motivation for our approach and sketch its mathematical strategy. Moreover, we comment on the application of our method to the standard model and the flipped SU(5) x U(1)-grand unification model. | |
| dc.description | 23 pages, LaTeX2e + AMS macros; revised version: This version is consistent with a revision of the application to a GUT in hep-th/9607237 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9607086 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9607086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149363 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Tour through Non-Associative Geometry | |
| dc.type | text |