Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-18
Class.Quant.Grav. 17 (2000) 2925-2948
Physics
High Energy Physics
High Energy Physics - Theory
45 pages (v2: References added)
Scientific paper
10.1088/0264-9381/17/15/306
We present a systematic attempt at classification of supersymmetric M-theory vacua with zero flux; that is, eleven-dimensional lorentzian manifolds with vanishing Ricci curvature and admitting covariantly constant spinors. We show that there are two distinct classes of solutions: static spacetimes generalising the Kaluza-Klein monopole, and non-static spacetimes generalising the supersymmetric wave. The classification can be further refined by the holonomy group of the spacetime. The static solutions are organised according to the holonomy group of the spacelike hypersurface, whereas the non-static solutions are similarly organised by the (lorentzian) holonomy group of the spacetime. These are subgroups of the Lorentz group which act reducibly yet indecomposably on Minkowski spacetime. We present novel constructions of non-static vacua consisting of warped products of d-dimensional pp-waves with (11-d)-dimensional manifolds admitting covariantly constant spinors. Our construction yields local metrics with a variety of exotic lorentzian holonomy groups. In the process, we write down the most general local metric in d<6 dimensions describing a pp-wave admitting a covariantly constant spinor. Finally, we also discuss a particular class of supersymmetric vacua with nonzero four-form obtained from the previous ones without modifying the holonomy of the metric. This is possible because in a lorentzian spacetime a metric which admits parallel spinors is not necessarily Ricci-flat, hence supersymmetric backgrounds need not satisfy the equations of motion.
No associations
LandOfFree
Breaking the M-waves 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 Breaking the M-waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Breaking the M-waves will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-487312