Supersymmetric N=2 Einstein-Yang-Mills monopoles and covariant attractors

TL;DR

This paper constructs and analyzes supersymmetric solutions in N=2 supergravity coupled to non-Abelian gauge fields, including monopoles and black holes, revealing covariant attractor behavior at black hole horizons.

Contribution

It introduces two classes of supersymmetric solutions with non-Abelian gauge fields, including regular monopoles and black holes with covariant attractors.

Findings

Regular asymptotically flat monopole solutions

Existence of regular non-Abelian black holes

Presence of covariant attractors at black hole horizons

Abstract

We present two generic classes of supersymmetric solutions of N=2, d=4 supergravity coupled to non-Abelian vector supermultiplets with a gauge group that includes an SU(2) factor. The first class consists of embeddings of the 't Hooft-Polyakov monopole and in the examples considered it has a fully regular, asymptotically flat space-time metric without event horizons. The other class of solutions consists of regular non-Abelian extreme black holes. There is a covariant attractor at the horizon of these non-Abelian black holes.