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HKT Geometry and de Sitter Supergravity

Grover, J, Gutowski, JB, Herdeiro, CAR and Sabra, W (2008) HKT Geometry and de Sitter Supergravity Nucl.Phys.B, 809. pp. 406-425.

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Solutions of five dimensional minimal de Sitter supergravity admitting Killing spinors are considered. It is shown that the "timelike'' solutions are determined in terms of a four dimensional hyper-Kahler torsion (HKT) manifold. If the HKT manifold is conformally hyper-Kahler the most general solution can be obtained from a sub-class of supersymmetric solutions of minimal N=2 ungauged supergravity, by means of a simple transformation. Examples include a multi-BMPV de Sitter solution, describing multiple rotating black holes co-moving with the expansion of the universe. If the HKT manifold is not conformally hyper-Kahler, examples admitting a tri-holomorphic Killing vector field are constructed in terms of certain solutions of three dimensional Einstein-Weyl geometry.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Grover, J
Herdeiro, CAR
Sabra, W
Date : 16 June 2008
DOI : 10.1016/j.nuclphysb.2008.08.024
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:36
Last Modified : 10 Jun 2019 13:15

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