Non-Supersymmetric Attractor Flow in Symmetric Spaces

TL;DR

This paper constructs explicit non-supersymmetric extremal black hole solutions in four-dimensional models with symmetric target spaces, revealing differences from supersymmetric solutions in moduli space structure.

Contribution

It provides the first exact non-BPS black hole solutions with generic charges in N=2 supergravity coupled to one vector multiplet, using a novel approach based on nilpotent generators.

Findings

Exact non-BPS black hole solutions with generic charges

Multi-centered solutions can be generated with the method

Non-supersymmetric solutions lack bound state moduli space

Abstract

We derive extremal black hole solutions for a variety of four dimensional models which, after Kaluza-Klein reduction, admit a description in terms of 3D gravity coupled to a sigma model with symmetric target space. The solutions are in correspondence with certain nilpotent generators of the isometry group. In particular, we provide the exact solution for a non-BPS black hole with generic charges and asymptotic moduli in N=2 supergravity coupled to one vector multiplet. Multi-centered solutions can also be generated with this technique. It is shown that the non-supersymmetric solutions lack the intricate moduli space of bound configurations that are typical of the supersymmetric case.