Instantons in topological field theories
| dc.creator | Temple-Raston, M. | |
| dc.date | 1993-08-11 | |
| dc.date | 1993-08-12 | |
| dc.date.accessioned | 2026-07-07T09:01:18Z | |
| dc.date.available | 2026-07-07T09:01:18Z | |
| dc.description | On an oriented, compact, connected, real four-dimensional manifold, $M$, we introduce a topological Lagrangian gauge field theory with a Bogomol'nyi structure that leads to non-singular, finite-Action, stable solutions to the variational field equations. These soliton-like solutions are analogous to the instanton in Yang-Mills theory. Unlike Yang-Mills instantons, however, `topological' instantons are independent of any underlying metric structure, and, in particular, they are independent of the metric signature. We show that when the topology of the underlying manifold, $M$, is equipped with a complex Kähler structure, and $M$ is interpreted as space-time, then the moduli space of topological instantons---the space of motions---is a finite-dimensional, smooth, Hausdorff manifold with a natural symplectic structure. We identify space-time topologies which lead to the physical stability of topological instanton field configurations compatible with the additional geometric structures. The spaces of motion for $U(1)$ topological instantons over either minimal elliptic or algebraic complex space-times with irregularity $q=2$ are examined. | |
| dc.description | 15 pages, Plain TeX, CON-93-2. (missing macro included) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9308055 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9308055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148276 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Instantons in topological field theories | |
| dc.type | text |