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Cosmological solutions from fake N=2 EYM supergravity

2009/02/28 by P. Meessen, A. Palomo-Lozano · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/05/042

published as JHEP 0905:042,2009 · 30 pages. Comments and references added, typos corrected

Abstract

We characterise the (fake) supersymmetric solutions of Wick-rotated N=2 d=4 gauged supergravity coupled to non-Abelian vector multiplets. In the time-like case we obtain generalisations of Kastor & Traschen's cosmological black holes: they have a specific time-dependence and the base-space must be 3-dimensional hyperCR/Gauduchon-Tod space. In the null-case, we find that the metric has a holonomy contained in Sim(2), give a general characterisation of the solutions, and give some examples. Finally, we point out that in some cases the solutions we found are non-BPS solutions to N=2 d=4 supergravity coupled to vector multiplets.

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