Tuesday, October 9, 2012

1109.5257 (Jan B. Gutowski et al.)

Einstein Weyl Structures and de Sitter Supergravity    [PDF]

Jan B. Gutowski, Alberto Palomo-Lozano, W. A. Sabra
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).
View original: http://arxiv.org/abs/1109.5257

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