Supersymmetry on Three-dimensional Lorentzian Curved Spaces and Black Hole Holography

Understand

We study N <= 2 superconformal and supersymmetric theories on Lorentzian threemanifolds with a view toward holographic applications, in particular to BPS black hole solutions.

• As in the Euclidean case, preserved supersymmetry for asymptotically locally AdS solutions implies the existence of a (charged) &#34;conformal Killing spinor&#34; on the boundary.
• We find that such spinors exist whenever there is a conformal Killing vector which is null or timelike.
• We match these results with expectations from supersymmetric four-dimensional asymptotically AdS black holes.