Einstein Weyl Structures and de Sitter Supergravity

Details Einstein Weyl Structures and de Sitter Supergravity Einstein Weyl Structures and de Sitter Supergravity

2011-09-24

arxiv.org/abs/1109.5257v1

Physics

High Energy Physics

High Energy Physics - Theory

23 pages

Scientific paper

The geometric structure of the null solutions of de Sitter D=5 gauged supergravity coupled to vector multiplets is investigated. These solutions are Kundt metrics, constructed from a one-parameter family of three dimensional Gauduchon-Tod base spaces. We give examples, including the near horizon geometries previously found in hep-th/1012.2120. In addition, two special cases are considered in detail. In the first, we consider solutions for which the Gauduchon-Tod base space is the Berger sphere. In the second case we take the null 1-form Killing spinor bilinear to be recurrent, so that the holonomy of the Levi-Civita connection is contained in Sim(3).

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