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arXiv · 0901.4066

Five Dimensional Minimal Supergravities and Four Dimensional Complex Geometries

Jai Grover·Jan B. Gutowski·Carlos A. R. Herdeiro·Wafic Sabra
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Abstract

We discuss the relation between solutions admitting Killing spinors of minimal supergravities in five dimensions and four dimensional complex geometries. In the ungauged case (vanishing cosmological constant Λ=0) the solutions are determined in terms of a hyper-Kahler base space; in the gauged case (Λ<0) the complex geometry is Kahler; in the de Sitter case (Λ>0) the complex geometry is hyper-Kahler with torsion (HKT). In the latter case some details of the derivation are given. The method for constructing explicit solutions is discussed in each case.

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Jai Grover, Jan B. Gutowski, Carlos A. R. Herdeiro, Wafic Sabra. 2009-01-26. Five Dimensional Minimal Supergravities and Four Dimensional Complex Geometries. https://doi.org/10.1063/1.3141231

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