CPL - Chalmers Publication Library

# Geometry of all supersymmetric four-dimensional N=1 supergravity backgrounds

Ulf Gran (Institutionen för fundamental fysik, Matematisk fysik) ; Jan Gutowski ; George Papadopoulos
Journal of High Energy Physics (1126-6708). Vol. 06 (2008), p. 102.

We solve the Killing spinor equations of ${\cal N}=1$ 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 three Killing directions. These backgrounds are of cohomogeneity one with homogenous sections either $\bR^{2,1}$ 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 $\bR^{3,1}$ or $AdS_4$.

CPL Pubid: 78243

# Läs direkt!

Länk till annan sajt (kan kräva inloggning)

# Institutioner (Chalmers)

Institutionen för fundamental fysik, Matematisk fysik (2005-2013)