Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-12-02
JHEP 0304 (2003) 039
Physics
High Energy Physics
High Energy Physics - Theory
36 pages. Typos corrected and discussion on G-structures improved. Final version to appear in JHEP
Scientific paper
10.1088/1126-6708/2003/04/039
We propose a way to classify all supersymmetric configurations of D=11 supergravity using the G-structures defined by the Killing spinors. We show that the most general bosonic geometries admitting a Killing spinor have at least a local SU(5) or an (Spin(7)\ltimes R^8)x R structure, depending on whether the Killing vector constructed from the Killing spinor is timelike or null, respectively. In the former case we determine what kind of local SU(5) structure is present and show that almost all of the form of the geometry is determined by the structure. We also deduce what further conditions must be imposed in order that the equations of motion are satisfied. We illustrate the formalism with some known solutions and also present some new solutions including a rotating generalisation of the resolved membrane solutions and generalisations of the recently constructed D=11 Godel solution.
Gauntlett Jerome P.
Pakis Stathis
No associations
LandOfFree
The Geometry of D=11 Killing Spinors 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 Geometry of D=11 Killing Spinors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Geometry of D=11 Killing Spinors will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-602554