Five-dimensional null and time-like supersymmetric geometries

Giulio Pasini (1) , C. S. Shahbazi (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Keywords: five-dimensional supergravity; null and time-like solutions; supersymmetric Killing vector; Gibbons–Hawking base space

Domains: Mathematical Physics [math-ph]

Giulio Pasini, C. S. Shahbazi. Five-dimensional null and time-like supersymmetric geometries. Classical and Quantum Gravity, 2016, 33 (17), pp.175003. ⟨10.1088/0264-9381/33/17/175003⟩. ⟨cea-02015977⟩