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We find the most general low energy dynamics of 1/2 BPS monopoles in the N=4 supersymmetric Yang-Mills theories (SYM) when all six adjoint Higgs expectation values are turned on. When only one Higgs is turned on, the Lagrangian is purely…

High Energy Physics - Theory · Physics 2009-10-31 Dongsu Bak , Kimyeong Lee , Piljin Yi

For N>2 we present static monopole solutions of the second order SU(N) BPS Yang-Mills-Higgs equations which are not solutions of the first order Bogomolny equations. These spherically symmetric solutions may be interpreted as monopole…

High Energy Physics - Theory · Physics 2010-11-19 Theodora Ioannidou , Paul M. Sutcliffe

We determine the low energy dynamics of monopoles in pure N=2 Yang-Mills theories for points in the vacuum moduli space where the two Higgs fields are not aligned. The dynamics is governed by a supersymmetric quantum mechanics with…

High Energy Physics - Theory · Physics 2009-10-31 Jerome P. Gauntlett , Nakwoo Kim , Jaemo Park , Piljin Yi

We study charge k SU(2) BPS monopoles which are symmetric under the cyclic group of order k. Approximate twistor data (spectral curves and Nahm data) is constructed using a new technique based upon a Painleve analysis of Nahm's equation…

High Energy Physics - Theory · Physics 2009-10-30 Paul Sutcliffe

In this work, BPS models built from the coupling of Yang-Mills-Higgs Lagrangian to impurities are investigated. We first consider scalar impurities, which in the BPS limit generate monopoles similar to those obtained in a previously…

High Energy Physics - Theory · Physics 2025-10-24 D. Bazeia , M. A. Liao , M. A. Marques

We discuss the Montonen-Olive electric-magnetic duality for the BPS massless monopole clouds in N=4 supersymmetric Yang-Mills theory with non-Abelian unbroken gauge symmetries. We argue that these low energy non-Abelian clouds can be…

High Energy Physics - Theory · Physics 2009-11-07 Xingang Chen

In $\mathcal{N}=4$ super-Yang-Mills theory with gauge group $G$ spontaneously broken to a subgroup $H$, S-duality requires that the BPS monopole spectrum organizes into the same representation as W-bosons in the dual theory, where…

High Energy Physics - Theory · Physics 2026-01-21 Shan Hu

In this paper, we show the existence of magnetic monopoles in the pure $SU(2)$ Yang--Mills theory even in absence of scalar fields when the gauge-invariant mass term is introduced. This result follows from the recent proposal for obtaining…

High Energy Physics - Theory · Physics 2019-12-06 Shogo Nishino , Ryutaro Matsudo , Matthias Warschinke , Kei-Ichi Kondo

We consider a class of spontaneously broken $SU(2)$ gauge theories with adjoint scalar and look for exact magnetic monopole solutions in the Bogomol'nyi-Prasad-Sommerfield (BPS) limit. We find that some of the resulting solutions exhibit a…

High Energy Physics - Theory · Physics 2026-03-05 Petr Beneš , Filip Blaschke

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…

High Energy Physics - Theory · Physics 2010-11-19 Ali H. Chamseddine , Mikhail S. Volkov

We study the 1/4 BPS equations in the eight dimensional noncommutative Yang-Mills theory found by Bak, Lee and Park. We explicitly construct some solutions of the 1/4 BPS equations using the noncommutative version of the ADHM-like…

High Energy Physics - Theory · Physics 2007-05-23 Yoshiki Hiraoka

We study topological as well as dynamical properties of BPS nonabelian magnetic monopoles of Goddard-Nuyts-Olive-Weinberg type in $ G=SU(N)$, $USp(2N)$ and SO(N) gauge theories, spontaneously broken to nonabelian subgroups $H$. We find that…

High Energy Physics - Theory · Physics 2009-09-29 Roberto Auzzi , Stefano Bolognesi , Jarah Evslin , Kenichi Konishi , Hitoshi Murayama

In this thesis we study dynamic of magnetic monopoles from Lagrangian density in Yang-Mills-Higgs field theory. In particular, we discuss BPS (Bogomolny Prasad Sommerfield) magnetic monopoles, described by SU(N) Bogomolny equations, which…

High Energy Physics - Theory · Physics 2013-01-11 Ardian Nata Atmaja

Exact $SU(2)\times U(1)$ self-gravitating BPS global monopoles in four dimensions are constructed by dimensional reduction of eight dimensional metrics with $G_2$ holonomy asymptotic to cones over $S^3\times S^3$. The solutions carry two…

High Energy Physics - Theory · Physics 2009-11-07 Sean A. Hartnoll

This paper deals with static BPS monopoles in three dimensions which are periodic either in one direction (monopole chains) or two directions (monopole sheets). The Nahm construction of the simplest monopole chain is implemented…

High Energy Physics - Theory · Physics 2009-11-11 R. S. Ward

We investigate some aspects of Bogomolny-Prasad-Sommerfield monopole solutions in the Yang-Mills-Higgs theory with exceptional gauge group $G_2$ spontaneously broken to $U(1)\times U(1)$. Corresponding homotopy group is…

High Energy Physics - Theory · Physics 2015-09-02 Ya Shnir , G. Zhilin

We study Bogomolny equations on $R^2\times S^1$. Although they do not admit nontrivial finite-energy solutions, we show that there are interesting infinite-energy solutions with Higgs field growing logarithmically at infinity. We call these…

High Energy Physics - Theory · Physics 2009-10-31 Sergey A. Cherkis , Anton Kapustin

We present a non-Abelian model for magnetic monopoles in inhomogeneous media, based on a generalization of the standard 't~Hooft-Polyakov model. The medium is described by spatially dependent couplings in the gauge and scalar sectors,…

High Energy Physics - Theory · Physics 2026-04-23 Filipe Rodrigues da Silva , Azadeh Mohammadi

We produce finite energy BPS monopoles with arbitrary prescribed symmetry breaking from a new class of Nahm data.

Differential Geometry · Mathematics 2025-08-15 Benoit Charbonneau , Ákos Nagy

Magnetic monopoles in Yang-Mills-Higgs theory with a non-abelian unbroken gauge group are classified by holomorphic charges in addition to the topological charges familiar from the abelian case. As a result the moduli spaces of monopoles of…

High Energy Physics - Theory · Physics 2009-10-30 F. A. Bais , B. J. Schroers