Five Dimensional Minimal Supergravities and Four Dimensional Complex Geometries
High Energy Physics - Theory
2015-05-13 v1
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.
Cite
@article{arxiv.0901.4066,
title = {Five Dimensional Minimal Supergravities and Four Dimensional Complex Geometries},
author = {Jai Grover and Jan B. Gutowski and Carlos A. R. Herdeiro and Wafic Sabra},
journal= {arXiv preprint arXiv:0901.4066},
year = {2015}
}
Comments
8 pages. Contribution to the Proceedings of the Spanish Relativity Meeting 2008 in Salamanca, Spain