{ "id": "0901.4066", "version": "v1", "published": "2009-01-26T18:25:16.000Z", "updated": "2009-01-26T18:25:16.000Z", "title": "Five Dimensional Minimal Supergravities and Four Dimensional Complex Geometries", "authors": [ "Jai Grover", "Jan B. Gutowski", "Carlos A. R. Herdeiro", "Wafic Sabra" ], "comment": "8 pages. Contribution to the Proceedings of the Spanish Relativity Meeting 2008 in Salamanca, Spain", "categories": [ "hep-th" ], "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.", "revisions": [ { "version": "v1", "updated": "2009-01-26T18:25:16.000Z" } ], "analyses": { "subjects": [ "12.60.Jv", "04.25.-g", "04.70.-s" ], "keywords": [ "complex geometry", "dimensional complex geometries", "dimensional minimal supergravities", "hyper-kahler base space", "solutions admitting killing spinors" ], "tags": [ "journal article" ], "publication": { "doi": "10.1063/1.3141231" }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 811837, "adsabs": "2009AIPC.1122..129G" } } }