Non-Abelian Monopole and Dyon Solutions in a Modified Einstein-Yang-Mills-Higgs System

TL;DR

This paper explores non-Abelian monopole and dyon solutions within a modified Einstein-Yang-Mills-Higgs system, introducing a Higgs-curvature coupling that allows for Bogomol'nyi bounds and extends monopole solutions to include electric charge.

Contribution

It presents a new modified gravity-Yang-Mills-Higgs model with a Higgs-curvature coupling, enabling Bogomol'nyi bounds and novel dyon solutions.

Findings

Established Bogomol'nyi bounds in curved space.

Constructed monopole and dyon solutions with electric charge.

Extended previous monopole solutions to a modified gravity context.

Abstract

We have studied a modified Yang-Mills-Higgs system coupled to Einstein gravity. The modification of the Einstein-Hilbert action involves a direct coupling of the Higgs field to the scalar curvature. In this modified system we are able to write a Bogomol'nyi type condition in curved space and demonstrate that the positive static energy functional is bounded from below. We then investigate non-Abelian sperically symmetric static solutions in a similar fashion to the `t Hooft-Polyakov monopole. After reviewing previously studied monopole solutions of this type, we extend the formalism to included electric charge and we present dyon solutions.