Killing-Yano equations and G-structures
| dc.creator | Papadopoulos, G. | |
| dc.date | 2007-12-04 | |
| dc.date | 2008-04-28 | |
| dc.date.accessioned | 2026-07-07T11:39:08Z | |
| dc.date.available | 2026-07-07T11:39:08Z | |
| dc.description | We solve the Killing-Yano equation on manifolds with a $G$-structure for $G=SO(n), U(n), SU(n), Sp(n)\cdot Sp(1), Sp(n), G_2$ and $Spin(7)$. Solutions include nearly-Kähler, weak holonomy $G_2$, balanced SU(n) and holonomy $G$ manifolds. As an application, we find that particle probes on $AdS_4\times X$ compactifications of type IIA and 11-dimensional supergravity admit a ${\cal W}$-type of symmetry generated by the fundamental forms. We also explore the ${\cal W}$-symmetries of string and particle actions in heterotic and common sector supersymmetric backgrounds. In the heterotic case, the generators of the ${\cal W}$-symmetries completely characterize the solutions of the gravitino Killing spinor equation, and the structure constants of the ${\cal W}$-symmetry algebra depend on the solution of the dilatino Killing spinor equation. | |
| dc.description | 10 pages, minor changes | |
| dc.identifier | https://arxiv.org/abs/0712.0542 | |
| dc.identifier | http://arxiv.org/abs/0712.0542 | |
| dc.identifier | Class.Quant.Grav.25:105016,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/10/105016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199812 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Killing-Yano equations and G-structures | |
| dc.type | text |