Non-Abelian Solitons in N=4 Gauged Supergravity and Leading Order String Theory

TL;DR

This paper investigates supersymmetric, regular monopole solutions in N=4 gauged supergravity, connecting four-dimensional solutions to ten-dimensional string theory via compactification, and analyzing their properties.

Contribution

It provides a systematic analysis of supersymmetric monopole solutions in N=4 gauged supergravity and relates them to ten-dimensional string theory through compactification.

Findings

Existence of 1/4 BPS monopole solutions with regular geometry

Solutions can be derived from ten-dimensional supergravity compactification

Lifting solutions to ten dimensions confirms their string theory origin

Abstract

We study static, spherically symmetric, and purely magnetic solutions of the N=4 gauged supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/4 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry. We show that the theory in which these solutions arise can be obtained via compactification of ten-dimensional supergravity on the group manifold. This result is then used to lift the solutions to ten dimensions.