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Five Dimensional Minimal Supergravities and Four Dimensional Complex Geometries

Grover, J, Gutowski, JB, Herdeiro, CAR and Sabra, W (2009) Five Dimensional Minimal Supergravities and Four Dimensional Complex Geometries

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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 \Lambda=0) the solutions are determined in terms of a hyper-Kahler base space; in the gauged case (\Lambda<0) the complex geometry is Kahler; in the de Sitter case (\Lambda>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.

Item Type: Article
Authors :
NameEmailORCID
Grover, JUNSPECIFIEDUNSPECIFIED
Gutowski, JBj.gutowski@surrey.ac.ukUNSPECIFIED
Herdeiro, CARUNSPECIFIEDUNSPECIFIED
Sabra, WUNSPECIFIEDUNSPECIFIED
Date : 26 January 2009
Identification Number : https://doi.org/10.1063/1.3141231
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:36
Last Modified : 17 May 2017 15:04
URI: http://epubs.surrey.ac.uk/id/eprint/836016

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