Abstract
Spinorial geometry methods are used to classify solutions admitting Majorana Killing spinors of the minimal 4-dimensional supergravity in neutral signature, with van- ishing 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- K¨ahler 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- K¨ahler manifolds; and examples in the latter class include self-dual solutions, as well as a neutral-signature IWP-type solution.
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ArXiv ePrint: 1905.01910
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Gutowski, J., Sabra, W. Real Killing spinors in neutral signature. J. High Energ. Phys. 2019, 173 (2019). https://doi.org/10.1007/JHEP11(2019)173
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DOI: https://doi.org/10.1007/JHEP11(2019)173