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arXiv · 1109.5257

Einstein Weyl Structures and de Sitter Supergravity

Jan B. Gutowski·Alberto Palomo-Lozano·W. A. Sabra
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Abstract

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 arxiv:hep-th/10122120. 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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Jan B. Gutowski, Alberto Palomo-Lozano, W. A. Sabra. 2012-10-04. Einstein Weyl Structures and de Sitter Supergravity. https://doi.org/10.1088/0264-9381%2F29%2F10%2F105006

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