Solutions of D=4 Gauged Pseudo-Supergravity

Abstract

The techniques of spinorial geometry are used to classify solutions admitting Killing spinors in the theory of minimal anti-de Sitter $N=2$, $D=4$ supergravity, where the gauge kinetic term comes with the opposite sign. There are four classes of solutions. One class is described by metrics corresponding to gravitational waves propagating on $Ad{S}_2\times H^2$. The second class of solution is a new solution corresponding to a special limiting case of the Killing spinor. The third class of solution corresponds to fibrations over a Lorentzian three dimensional manifold which has a Lorentzian Gauduchon-Tod structure. The fourth class of solution is a cosmological extension of a Majumdar-Papapetrou type solution, described by a function satisfying the wave equation on ${\mathbb{R}}^{2,1}$ .

Minor typo corrected, reference added. arXiv admin note: substantial text overlap with arXiv:0903.0179

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Cited by in corpus (2)

• A note on the Hyper--CR equation, and gauged $N=2$ supergravity
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