A Note on Higher Dimensional Instantons and Supersymmetric Cycles
| dc.creator | Kanno, H. | |
| dc.date | 1999-03-31 | |
| dc.date | 1999-04-01 | |
| dc.date.accessioned | 2026-07-07T11:10:32Z | |
| dc.date.available | 2026-07-07T11:10:32Z | |
| dc.description | We discuss instantons in dimensions higher than four. A generalized self-dual or anti-self-dual instanton equation in n-dimensions can be defined in terms of a closed (n-4) form $Ω$ and it was recently employed as a topological gauge fixing condition in higher dimensional generalizations of cohomological Yang-Mills theory. When $Ω$ is a calibration which is naturally introduced on the manifold of special holomony, we argue that higher dimensional instanton may be locally characterized as a family of four dimensional instantons over a supersymmetric (n-4) cycle $Σ$ with respect to the calibration $Ω$. This is an instanton configuration on the total space of the normal bundle $N(Σ)$ of the submanifold $Σ$ and regarded as a natural generalization of point-like instanton in four dimensions that plays a distinguished role in a compactification of instanton moduli space. | |
| dc.description | 14 pages, latex, Talk presented at the workshop on Gauge Theory and Integrable Models (YITP, Kyoto), January 26-29, 1999, the title corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9903260 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9903260 | |
| dc.identifier | Prog.Theor.Phys.Suppl.135:18-28,1999 | |
| dc.identifier | doi:10.1143/PTPS.135.18 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/190805 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Note on Higher Dimensional Instantons and Supersymmetric Cycles | |
| dc.type | text |