Aspects of spinorial geometry

TY - JOUR

T1 - Aspects of spinorial geometry

AU - Gran, U

AU - Gutowski, J

AU - Papadopoulos, G

AU - Roest, D

PY - 2007/1/10

Y1 - 2007/1/10

N2 - We reviews 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 interms of a linear system for the fluxes and the geometry of spacetime. The solutions of this linear system express some of the fluxes interms of the spacetime geometry and determine the conditions on the spacetime geometry imposed by super symmetry. We also pressent some of the of recent applications like the classification of maximally supersymmetric G-backgrounds in IIB, this includes the most general pp-wave solution preserving 1/2 super symmetry, and the classiftion of N = 31 backgrounds in ten and eleven dimensions

AB - We reviews 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 interms of a linear system for the fluxes and the geometry of spacetime. The solutions of this linear system express some of the fluxes interms of the spacetime geometry and determine the conditions on the spacetime geometry imposed by super symmetry. We also pressent some of the of recent applications like the classification of maximally supersymmetric G-backgrounds in IIB, this includes the most general pp-wave solution preserving 1/2 super symmetry, and the classiftion of N = 31 backgrounds in ten and eleven dimensions

M3 - Literature review

VL - 22

SP - 1

EP - 16

JO - MODERN PHYSICS LETTERS A

JF - MODERN PHYSICS LETTERS A

IS - 1

ER -