# Five-dimensional null and time-like supersymmetric geometries

Abstract : We show that there exist supersymmetric solutions of five-dimensional, pure, $N$ = 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 $AdS_3$ × $S_2$ and discuss their physical interpretation.
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https://hal-cea.archives-ouvertes.fr/cea-02015977
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Giulio Pasini, C. Shahbazi. Five-dimensional null and time-like supersymmetric geometries. Classical and Quantum Gravity, IOP Publishing, 2016, 33 (17), pp.175003. ⟨10.1088/0264-9381/33/17/175003⟩. ⟨cea-02015977⟩

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