New nonabelian solutions in D=4, N=4 gauged supergravity

TL;DR

This paper discovers new static, purely magnetic nonabelian solutions with unusual topology in four-dimensional N=4 supergravity, including two exact solutions, and analyzes their properties and singularities.

Contribution

It introduces two new exact nonabelian solutions in N=4 supergravity and explores their unique topological features and singularity structures.

Findings

All solutions exhibit naked singularities.

Differences from spherically symmetric solutions are analyzed.

General solution characteristics are presented.

Abstract

In this paper we look for static, purely magnetic, nonabelian solutions with unusual topology in the context of N=4 Freedman-Schwarz supergravity in four dimensions.Two new exact solutions satisfying first order Bogomol'nyi equations are discussed.The main characteristics of the general solutions are presented and differences with respect to the spherically symmetric case are studied. We argue that all solutions present naked singularities.