Geometry of all supersymmetric fourdimensional Script N = 1 supergravity backgrounds
Abstract
We solve the Killing spinor equations of Script 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 ppwave. The spacetime of the other class admits three Killing vector fields, and a vector field that commutes with the three Killing directions. These backgrounds are of cohomogeneity one with homogenous sections either Bbb R^{2,1} or AdS_{3} and have an interpretation as domain walls. The N = 3 backgrounds are locally maximally supersymmetric. There are N = 3 backgrounds which arise as discrete identifications of maximally supersymmetric ones. The maximally supersymmetric backgrounds are locally isometric to either Bbb R^{3,1} or AdS_{4}.
 Publication:

Journal of High Energy Physics
 Pub Date:
 June 2008
 DOI:
 10.1088/11266708/2008/06/102
 arXiv:
 arXiv:0802.1779
 Bibcode:
 2008JHEP...06..102G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 15 pages