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Bauer, Irina; Ivanova, Tatiana A.; Lechtenfeld, Olaf; Lubbe, Felix: Yang-Mills instantons and dyons on homogeneous G(2)-manifolds. In: Journal of High Energy Physics 2010 (2010), Nr. 10, 44. DOI: https://doi.org/10.1007/JHEP10(2010)044
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Sum total of downloads: 597
| Abstract: | |
We consider LieG-valued Yang-Mills fields on the space RxG/H, where G/H is a compact nearly Kahler six-dimensional homogeneous space, and the manifold RxG/H carries a G(2)-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on RxG/H is reduced to Newtonian mechanics of a particle moving in R-6, R-4 or R-2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)xU(1), Sp(2)/Sp(1)xU(1) or G(2)/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S(1)xG/H and dyons on iRxG/H are also given. | |
| License of this version: | CC BY 4.0 Unported |
| Document Type: | Article |
| Publishing status: | publishedVersion |
| Issue Date: | 2010 |
| Appears in Collections: | Fakultät für Mathematik und Physik |
distribution of downloads over the selected time period:
downloads by country:
| pos. | country | downloads | ||
|---|---|---|---|---|
| total | perc. | |||
| 1 |  |
Germany | 516 | 86.43% |
| 2 |  |
United States | 26 | 4.36% |
| 3 |  |
China | 9 | 1.51% |
| 4 |  |
Denmark | 6 | 1.01% |
| 5 |  |
No geo information available | 3 | 0.50% |
| 6 |  |
Peru | 3 | 0.50% |
| 7 |  |
Italy | 3 | 0.50% |
| 8 |  |
Ireland | 3 | 0.50% |
| 9 |  |
United Kingdom | 3 | 0.50% |
| 10 |  |
France | 3 | 0.50% |
| other countries | 22 | 3.69% | ||
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