Geometric Construction of Killing Spinors and Supersymmetry Algebras in Homogeneous Spacetimes

Abstract

We show how the Killing spinors of some maximally supersymmetric supergravity solutions whose metrics describe symmetric spacetimes (including $AdS,AdS\times S$ and H$pp$-waves) can be easily constructed using purely geometrical and group-theoretical methods. The calculation of the supersymmetry algebras is extremely simple in this formalism.

misprints corrected and references added. Version to appear in Classical and Quantum Gravity

References in corpus (1)

• A Note on Lie-Lorentz Derivatives

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