Aspects of Spinorial Geometry
Abstract
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 Gbackgrounds in IIB, this includes the most general ppwave solution preserving 1/2 supersymmetry, and the classification of N = 31 backgrounds in ten and eleven dimensions.
 Publication:

Modern Physics Letters A
 Pub Date:
 2007
 DOI:
 10.1142/S0217732307022517
 arXiv:
 arXiv:hepth/0612148
 Bibcode:
 2007MPLA...22....1G
 Keywords:

 11.25.w;
 11.25.Yb;
 Strings and branes;
 M theory;
 High Energy Physics  Theory
 EPrint:
 17 pages. Invited review for Modern Physics Letters A