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arXiv · 1512.02211

Five-dimensional null & time-like supersymmetric geometries

Giulio Pasini·C. S. Shahbazi
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Abstract

We show that there exist supersymmetric solutions of five-dimensional, pure, $\mathcal{N}=1$ Supergravity such that the norm of the supersymmetric Killing vector, built out of the Killing spinor, is a real not-everywhere analytic function such that all its derivatives vanish at a point where the Killing vector field becomes null. The norm of the Killing vector field then is not an analytic function on a neighborhood around this point. We explicitly construct such solutions by using a multi-center Gibbons-Hawking base. Although many of these solutions have infinite charges, we find explicit examples with finite charges that asymptote to $AdS_3\times S_2$ and discuss their physical interpretation.

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Giulio Pasini, C. S. Shahbazi. 2016-02-23. Five-dimensional null & time-like supersymmetric geometries. https://doi.org/10.1088/0264-9381%2F33%2F17%2F175003

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