Non-Abelian BPS Monopoles in N=4 Gauged Supergravity

TL;DR

This paper presents the discovery of the first known non-Abelian BPS monopole solutions in SU(2) x SU(2) gauge supergravity, featuring regular geometries and partial supersymmetry preservation, advancing understanding of gauge supergravity configurations.

Contribution

It provides the first explicit examples of non-Abelian backgrounds in gauge supergravity and effective string theory, with solutions preserving 1/8 of supersymmetry.

Findings

Solutions preserve 1/8 supersymmetry

Solutions are globally regular and monopole-like

First non-Abelian backgrounds in gauge supergravity

Abstract

We study static, spherically symmetric, and purely magnetic solutions of SU(2) $\times$ SU(2) gauge supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/8 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry. These present the first known example of non-Abelian backgrounds in gauge supergravity and in leading order effective string theory.