N=2 Einstein-Yang-Mills' static two-center solutions

TL;DR

This paper constructs explicit supersymmetric solutions in N=2 supergravity with SU(2) gauge fields, describing black holes and monopoles with non-Abelian hair, including multi-center configurations.

Contribution

It provides the first explicit construction of one- and two-center supersymmetric solutions with non-Abelian gauge fields in N=2 supergravity.

Findings

Solutions include black holes and monopoles with non-Abelian hair.

Multi-center solutions describe equilibrium configurations.

The solutions expand understanding of non-Abelian hair in supergravity.

Abstract

We construct bona fide one- and two-center supersymmetric solutions to N=2, d=4 supergravity coupled to SU(2) non-Abelian vector multiplets. The solutions describe black holes and global monopoles alone or in equilibrium with each other and exhibit non-Abelian hairs of different kinds.