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arXiv · 1905.01910

Real Killing Spinors in Neutral Signature

J. B. Gutowski·W. A. Sabra
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Abstract

Spinorial geometry methods are used to classify solutions admitting Majorana Killing spinors of the minimal 4-dimensional supergravity in neutral signature, with vanishing cosmological constant and a single Maxwell field strength. Two classes of solutions preserving the minimal amount of supersymmetry are found. The first class admits a null-Kahler structure and corresponds to a class of self-dual solutions found by Bryant. The second class admits a null and rotation-free geodesic congruence with respect to which a parallel frame can be chosen. Examples of solutions in the former class are pseudo-hyper-Kahler manifolds; and examples in the latter class include self-dual solutions, as well as a neutral-signature IWP-type solution.

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J. B. Gutowski, W. A. Sabra. 2019-05-06. Real Killing Spinors in Neutral Signature. https://doi.org/10.1007/jhep11(2019)173

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