Ungauging black holes and hidden supercharges

TL;DR

This paper embeds non-BPS extremal black holes into gauged supergravity, revealing preserved supersymmetries near the horizon and connecting flat space black hole entropy with BPS AdS black holes.

Contribution

It provides a general solution embedding for non-BPS extremal black holes in gauged supergravity, showing supersymmetry preservation near horizons and linking flat and AdS black hole entropy.

Findings

Supersymmetries are preserved near the horizon of non-BPS black holes in gauged supergravity.

The solution connects microscopic entropy counting in Minkowski and BPS black holes in AdS.

The construction has implications for the structure of asymptotically AdS4 black holes.

Abstract

We embed the general solution for non-BPS extremal asymptotically flat static and under-rotating black holes in abelian gauged D=4 N=2 supergravity, in the limit where the scalar potential vanishes but the gauging does not. Using this result, we show explicitly that some supersymmetries are preserved in the near horizon region of all the asymptotically flat solutions above, in the gauged theory. This reveals a deep relation between microscopic entropy counting of extremal black holes in Minkowski and BPS black holes in AdS. Finally, we discuss the relevance of this construction to the structure of asymptotically AdS4 black holes, as well as the possibility of including hypermultiplets.