The Killing spinor equation with higher order potentials

Details The Killing spinor equation with higher order potentials The Killing spinor equation with higher order potentials

2007-07-15

arxiv.org/abs/0707.2217v2

J.Geom.Phys.58:1355-1375,2008

Mathematics

Differential Geometry

28 pages; revised, more concise

Scientific paper

10.1016/j.geomphys.2008.05.010

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 \Psi. 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 \alpha-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.

Affiliated with

Also associated with

No associations

Rating

The Killing spinor equation with higher order potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Killing spinor equation with higher order potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Killing spinor equation with higher order potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-449707