Tri-Sasaki 7-metrics fibered over the QK limit of the Plebanski-Demianski metrics
Abstract
We consider a family of conical hyperkahler 8-metrics and we find the corresponding tri-Sasaki 7-metrics. We find in particular, a 7-dimensional fibration over the AdS-Kerr-Newmann-Taub-Nut solutions which is tri-Sasaki, and we consider several limits of the parameters of this solution. We also find an squashed version of these metrics, which is of weak G2 holonomy. Construction of supergravity backgrounds is briefly discussed, in particular examples which do not possess AdS4 near horizon limit.
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