Five-dimensional null & time-like supersymmetric geometries

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 $Ad{S}_3\times S_2$ and discuss their physical interpretation.

19 pages, 4 figures, open-vanishing conclusion changed due to non-analiticity of the Killing vector

References in corpus (2)

• An Infinite-Dimensional Family of Black-Hole Microstate Geometries
• Foliated eight-manifolds for M-theory compactification

Cited by in corpus (1)

• Holographic studies of Einsteinian cubic gravity