Real Killing Spinors in Neutral Signature

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 supersymmet...

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Bibliographic Details
Published in:arXiv.org 2019-05
Main Authors: Gutowski, J B, Sabra, W A
Format: Article
Language:English
Subjects:
Cosmological constant
Field strength
Supergravity
Supersymmetry
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1905.01910