The Geometry of D=11 Null Killing Spinors
Jerome P. Gauntlett, Jan B. Gutowski, Stathis Pakis
TL;DR
This paper classifies all supersymmetric solutions in D=11 supergravity that admit a null Killing spinor, providing a comprehensive understanding of time-dependent configurations with specific geometric properties.
Contribution
It completes the classification of supersymmetric D=11 supergravity solutions by deriving necessary and sufficient conditions for null Killing spinors.
Findings
Characterization of metric and four-form conditions for null Killing spinors
Complete classification of time-dependent supersymmetric configurations
Extension of previous classification work in hep-th/0212008
Abstract
We determine the necessary and sufficient conditions on the metric and the four-form for the most general bosonic supersymmetric configurations of D=11 supergravity which admit a null Killing spinor i.e. a Killing spinor which can be used to construct a null Killing vector. This class covers all supersymmetric time-dependent configurations and completes the classification of the most general supersymmetric configurations initiated in hep-th/0212008.
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