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arXiv · 1801.08044

Solutions of D=4 Gauged Pseudo-Supergravity

J. B. Gutowski·W. A. Sabra
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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 $AdS_2\times H^2$. 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 $\mathbb{R}^{2,1}$ .

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J. B. Gutowski, W. A. Sabra. 2018-01-23. Solutions of D=4 Gauged Pseudo-Supergravity. https://doi.org/10.1088/1361-6382%2Fab1af6

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