Aspects of spinorial geometry

Details Aspects of spinorial geometry Aspects of spinorial geometry

2006-12-14

arxiv.org/abs/hep-th/0612148v1

Mod.Phys.Lett.A22:1-16,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages. Invited review for Modern Physics Letters A

Scientific paper

10.1142/S0217732307022517

We review some aspects of the spinorial geometry approach to the classification of supersymmetric solutions of supergravity theories. In particular, we explain how spinorial geometry can be used to express the Killing spinor equations in terms of a linear system for the fluxes and the geometry of spacetime. The solutions of this linear system express some of the fluxes in terms of the spacetime geometry and determine the conditions on the spacetime geometry imposed by supersymmetry. We also present some of the recent applications like the classification of maximally supersymmetric G-backgrounds in IIB, this includes the most general pp-wave solution preserving 1/2 supersymmetry, and the classification of N=31 backgrounds in ten and eleven dimensions.

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