Ju n 20 08 Geometry of all supersymmetric four-dimensional N = 1 supergravity backgrounds

@inproceedings{Gran2008JuN2,
  title={Ju n 20 08 Geometry of all supersymmetric four-dimensional N = 1 supergravity backgrounds},
  author={U. Gran and Jan Gutowski and George Papadopoulos},
  year={2008}
}
We solve the Killing spinor equations of N = 1 supergravity, with four supercharges, coupled to any number of vector and scalar multiplets in all cases. We find that backgrounds with N = 1 supersymmetry admit a null, integrable, Killing vector field. There are two classes of N = 2 backgrounds. The spacetime in the first class admits a parallel null vector field and so it is a pp-wave. The spacetime of the other class admits three Killing vector fields, and a vector field that commutes with the… CONTINUE READING