Partially-flat gauge fields on manifolds of dimension greater than four
| dc.creator | Alekseevsky, Dmitri V. | |
| dc.creator | Cortés, Vicente | |
| dc.creator | Devchand, Chandrashekar | |
| dc.date | 2002-05-03 | |
| dc.date | 2002-09-12 | |
| dc.date.accessioned | 2026-07-07T04:13:28Z | |
| dc.date.available | 2026-07-07T04:13:28Z | |
| dc.description | We describe two extensions of the notion of a self-dual connection in a vector bundle over a manifold M from dim M=4 to higher dimensions. The first extension, Omega-self-duality, is based on the existence of an appropriate 4-form Omega on the Riemannian manifold M and yields solutions of the Yang-Mills equations. The second is the notion of half-flatness, which is defined for manifolds with certain Grassmann structure T^C M \cong E \otimes H. In some cases, for example for hyper-Kaehler manifolds M, half-flatness implies Omega-self-duality. A construction of half-flat connections inspired by the harmonic space approach is described. Locally, any such connection can be obtained from a free prepotential by solving a system of linear first order ODEs. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0205030 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0205030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51270 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.title | Partially-flat gauge fields on manifolds of dimension greater than four | |
| dc.type | text |