The Geometry of Self-Dual Gauge Fields
| dc.creator | Bilge, A. H. | |
| dc.creator | Dereli, T. | |
| dc.creator | Koçak, Ş. | |
| dc.date | 1996-12-24 | |
| dc.date.accessioned | 2026-07-07T04:23:00Z | |
| dc.date.available | 2026-07-07T04:23:00Z | |
| dc.description | Self-dual 2-forms in D=2n dimensions are characterised by an eigenvalue criterion. The equivalence of various definitions of self-duality is proven. We show that the self-dual 2-forms determine a n^2-n+1 dimensional manifold S_{2n} and the dimension of the maximal linear subspaces of S_{2n}$ is equal to the Radon-Hurwitz number of linearly independent vector fields on the sphere S^{2n-1}. The relation between the maximal linear subspaces and the representations of Clifford algebras is noted. A general procedure based on this relation for the explicit construction of linearly self-dual 2-forms is given. The construction of the octonionic instanton solution in D=8 dimensions is discussed. | |
| dc.description | 14 pages, Latex (No figures) Paper presented to The 9th Max Born Symposium, Karpacz, Poland 25-27 September 1996 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9612230 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9612230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54863 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Geometry of Self-Dual Gauge Fields | |
| dc.type | text |