On the Solution and Ellipticity Properties of the Self-duality equations of Corrigan et al in Eight Dimensions
| dc.creator | Bilge, Ayse Humeyra | |
| dc.date | 1996-04-16 | |
| dc.date.accessioned | 2026-07-07T04:22:02Z | |
| dc.date.available | 2026-07-07T04:22:02Z | |
| dc.description | We show that the two sets of self-dual Yang-Mills equations in 8-dimensions proposed in (E.Corrigan, C.Devchand, D.B.Fairlie and J.Nuyts, {\it Nuclear Physics} {\bf B214}, 452-464, (1983)) form respectively elliptic and overdetermined elliptic systems under the Coulomb gauge condition. In the overdetermined case, the Yang-Mills fields can depend at most on $N$ arbitrary constants, where $N$ is the dimension of the gauge group. We describe a subvariety ${\cal P}_8 $ of the skew-symmetric $8\times 8$ matrices by an eigenvalue criterion and we show that the solutions of the elliptic equations of Corrigan et al. are among the maximal linear submanifolds of ${\cal P}_8$. We propose an eight order action for which the elliptic set is a maximum. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9604083 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9604083 | |
| dc.identifier | Int.J.Theor.Phys. 35 (1996) 2507-2516 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54559 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the Solution and Ellipticity Properties of the Self-duality equations of Corrigan et al in Eight Dimensions | |
| dc.type | text |