The Killing spinor equation with higher order potentials
| dc.creator | Puhle, Christof | |
| dc.date | 2007-07-15 | |
| dc.date | 2008-01-14 | |
| dc.date.accessioned | 2026-07-07T11:52:47Z | |
| dc.date.available | 2026-07-07T11:52:47Z | |
| dc.description | Let (M^n,g) be a Riemannian spin manifold. The basic equations in supergravity models of type IIa string theory with 4-form flux involve a 3-form T, a 4-form F, a spinorial covariant derivative \nabla depending on \nabla^g, T, F, and a \nabla-parallel spinor field Ψ. We classify and construct many explicit families of solutions to this system of spinorial field equations by means of non-integrable special geometries. The latter include α-Sasakian structures in dimensions 5 and 7, almost Hermitian structures in dimension 6 and cocalibrated G_2-structures in dimension 7. We show that there are several examples also satisfying an additional constraint for the energy-momentum tensor. | |
| dc.description | 28 pages; revised, more concise | |
| dc.identifier | https://arxiv.org/abs/0707.2217 | |
| dc.identifier | http://arxiv.org/abs/0707.2217 | |
| dc.identifier | J.Geom.Phys.58:1355-1375,2008 | |
| dc.identifier | doi:10.1016/j.geomphys.2008.05.010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204305 | |
| dc.subject | Differential Geometry | |
| dc.subject | Mathematical Physics | |
| dc.subject | 53C25; 81T30 | |
| dc.title | The Killing spinor equation with higher order potentials | |
| dc.type | text |