Solutions of D=4 Gauged Pseudo-Supergravity

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 corre...

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Bibliographic Details
Published in:arXiv.org 2018-11
Main Authors: Gutowski, J B, Sabra, W A
Format: Article
Language:English
Subjects:
Gravitational waves
Supergravity
Wave equations
Wave propagation
Online Access:Get full text
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Summary: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 \(\mathbb{R}^{2,1}\) .
ISSN:2331-8422
DOI:10.48550/arxiv.1801.08044