Neutral Signature Gauged Supergravity Solutions
arXiv:2006.06312 · doi:10.1007/JHEP02(2021)030
Abstract
We classify all supersymmetric solutions of minimal D=4 gauged supergravity with (2,2) signature and a positive cosmological constant which admit exactly one Killing spinor. This classification produces a geometric structure which is more general than that found for previous classifications of N=2 supersymmetric solutions of this theory. We illustrate how the N=2 solutions which consist of a fibration over a 3-dimensional Lorentzian Gauduchon-Tod base space can be written in terms of this more generic geometric structure.
arXiv comment20 pages, latex
References in corpus (22)
- Cosmological Multi-Black Hole Solutions
- Duality and the Signature of Space-Time
- The spinorial geometry of supersymmetric backgrounds
- Anti-self-dual four-manifolds with a parallel real spinor
- All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity
- The spinorial geometry of supersymmetric heterotic string backgrounds
- The spinorial geometry of supersymmetric IIB backgrounds
- The G_2 spinorial geometry of supersymmetric IIB backgrounds
- Kleinian Geometry and the N=2 Superstring
- All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
- Systematics of M-theory spinorial geometry
- All null supersymmetric backgrounds of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
- Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Beyond Self-Duality
- Classification, geometry and applications of supersymmetric backgrounds
- Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions
- All the timelike supersymmetric solutions of all ungauged d=4 supergravities
- Solutions of Minimal Four Dimensional de Sitter Supergravity
- Geometry of Killing spinors in neutral signature
- Gravitational Instantons and Euclidean Supersymmetry
- Special Geometry and Space-time Signature
- Real Killing Spinors in Neutral Signature
- Solutions of D=4 Gauged Pseudo-Supergravity