Yang-Mills Instantons and Dyons on Group Manifolds
| dc.creator | Ivanova, Tatiana A. | |
| dc.creator | Lechtenfeld, Olaf | |
| dc.date | 2008-06-02 | |
| dc.date.accessioned | 2026-07-07T12:14:38Z | |
| dc.date.available | 2026-07-07T12:14:38Z | |
| dc.description | We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mills equations. For gauge fields invariant under the adjoint G-action these BPS equations reduce to first-order matrix equations, to which we give instanton solutions. In the case of G=SU(2)=S^3, our matrix equations are recast as Nahm equations, and a further algebraic reduction to the Toda chain equations is presented and solved for the SU(3) example. Finally, we change the metric on GxR to Minkowski and construct finite-energy dyon-type Yang-Mills solutions. The special case of G=SU(2)xSU(2) may be used in heterotic flux compactifications. | |
| dc.description | 1+7 pages | |
| dc.identifier | https://arxiv.org/abs/0806.0394 | |
| dc.identifier | http://arxiv.org/abs/0806.0394 | |
| dc.identifier | Phys.Lett.B670:91-94,2008 | |
| dc.identifier | doi:10.1016/j.physletb.2008.10.027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211262 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Yang-Mills Instantons and Dyons on Group Manifolds | |
| dc.type | text |