Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-01-21
Class.Quant.Grav.22:2453-2492,2005
Physics
High Energy Physics
High Energy Physics - Theory
48 pages. v2: formulae simplified and reference added
Scientific paper
10.1088/0264-9381/22/12/010
We investigate the Killing spinor equations of IIB supergravity for one Killing spinor. We show that there are three types of orbits of Spin(9,1) in the space of Weyl spinors which give rise to Killing spinors with stability subgroups $Spin(7)\ltimes \bR^8$, $SU(4)\ltimes \bR^8$ and $G_2$. We solve the Killing spinor equations for the $Spin(7)\ltimes \bR^8$ and $SU(4)\ltimes \bR^8$ invariant spinors, give the fluxes in terms of the geometry and determine the conditions on the spacetime geometry imposed by supersymmetry. In both cases, the spacetime admits a null, self-parallel, Killing vector field. We also apply our formalism to examine a class of $SU(4)\ltimes \bR^8$ backgrounds which admit one and two pure spinors as Killing spinors and investigate the geometry of the spacetimes.
Gran Ulf
Gutowski Jan
Papadopoulos George
No associations
LandOfFree
The spinorial geometry of supersymmetric IIB backgrounds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The spinorial geometry of supersymmetric IIB backgrounds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The spinorial geometry of supersymmetric IIB backgrounds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-593843