Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario

TL;DR

This paper presents new analytical self-dual magnetic monopole solutions in a generalized Yang-Mills-Higgs model, classifying them based on their relation to the standard 't Hooft-Polyakov monopole and comparing their profiles.

Contribution

It introduces novel analytical solutions within a generalized Yang-Mills-Higgs framework, expanding understanding of monopole configurations beyond standard models.

Findings

Solutions are classified into two types based on their recovery of the 't Hooft-Polyakov monopole.

New solutions exhibit distinct profile features compared to standard monopoles.

Analytical solutions satisfy BPS equations with finite energy boundary conditions.

Abstract

We have found analytical self-dual solutions within the generalized Yang-Mills-Higgs model introduced in Phys. Rev. D 86, 085034 (2012). Such solutions are magnetic monopoles satisfying Bogomol'nyi-Prasad-Sommerfield (BPS) equations and usual finite energy boundary conditions. Moreover, the new solutions are classified in two different types according to their capability of recovering (or not) the usual 't Hooft--Polyakov monopole. Finally, we compare the profiles of the solutions we found with the standard ones, from which we comment about the main features exhibited by the new configurations.