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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 consider the $SU(2)$ Self-Dual Yang Mills Higgs Lagrangian in 3 dimension. By adding a ''Gauge Mass'' term to this YMH Lagrangian in the form of $L^2$ norm of the connection we break the gauge invariance and critical points are…

Analysis of PDEs · Mathematics 2026-05-01 Tristan Rivière

We obtain solutions of Einstein's equations describing gravitational field outside a noncanonical global monopole with cosmological constant. In particular, we consider two models of k-monopoles: the Dirac-Born-Infeld (DBI) and the…

General Relativity and Quantum Cosmology · Physics 2016-10-14 Ilham Prasetyo , Handhika S. Ramadhan

Given any compact connected matrix Lie group $G$ and any lattice dimension $d\ge 2$, we construct a massive Gaussian scaling limit for the $G$-valued lattice Yang-Mills-Higgs theory in the "complete breakdown of symmetry" regime. This limit…

Probability · Mathematics 2026-03-26 Frederick Rajasekaran , Oren Yakir , Yanxin Zhou

The dynamics of n slowly moving fundamental monopoles in the SU(n+1) BPS Yang-Mills-Higgs theory can be approximated by geodesic motion on the 4n-dimensional hyperkahler Lee-Weinberg-Yi manifold. In this paper we apply a variational method…

High Energy Physics - Theory · Physics 2009-10-07 Richard Battye , Gary Gibbons , Paulina Rychenkova , Paul Sutcliffe

We construct exact t Hooft-Polyakov monopole solutions in a non-Hermitian field theory with local non-Abelian SU(2) gauge symmetry and a modified antilinear CPT symmetry. The solutions are obtained in a fourfold Bogomolny-Prasad-Sommerfield…

High Energy Physics - Theory · Physics 2020-08-28 Andreas Fring , Takanobu Taira

We study a five dimensional SU(3) nonsupersymmetric gauge theory compactified on $M^4\times S^1/Z_2$ and discuss the gauge hierarchy in the scenario of the gauge-Higgs unification. Making use of calculability of the Higgs potential and a…

High Energy Physics - Theory · Physics 2008-11-26 Makoto Sakamoto , Kazunori Takenaga

We discuss magnetic monopoles in gauge theories with Wilson loops on orbifolds. We present a simple example in 5 dimensions with the fifth dimension compactified on an S^1/Z_2 orbifold. The Wilson loop in this SO(3) example replaces the…

High Energy Physics - Theory · Physics 2010-04-05 Radovan Dermisek , Stuart Raby , S. Nandi

We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the function valued Pauli matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. Dehnen , E. Hitzer

A global monopole in dilatonic Einstein-Cartan gravity is presented. A linearized solution representing a global monopole interacting with a massless dilaton is found where Cartan torsion does not interact with the monopole Higgs…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

We construct a variety of bound states of Dirac magnetic monopoles in product $U(1)$ gauge theories that make up a Dirac magnetic monopole with unit magnetic charge under the unbroken $U(1)$ gauge group. The size of the bound states is…

High Energy Physics - Theory · Physics 2025-09-29 Kazuyuki Furuuchi , Moreshwar Pathak

A solution of the vortex type is given in a six-dimensional $SU(2)\times U(1)$ pure gauge theory coupled to Einstein gravity in a compactified background geometry. We construct the solution of an effective abelian Higgs model in terms of…

High Energy Physics - Theory · Physics 2019-05-02 Atsushi Nakamula , Satoru Hirenzaki , Kiyoshi Shiraishi

Monopole field configurations have been extensively studied in both Abelian and non-Abelian gauge theories. The question of the quantum corrections to these systems is a difficult one, since the classical monopoles have non-perturbatively…

High Energy Physics - Theory · Physics 2007-05-23 V. Dzhunushaliev , D. Singleton

We investigate the three dimensional Georgi-Glashow model with a Chern-Simons term. We find that there exist complex monopole solutions of finite action. They dominate the path integral and disorder the Higgs vacuum, but electric charges…

High Energy Physics - Theory · Physics 2009-10-31 Bayram Tekin , Kamran Saririan , Yutaka Hosotani

Following a brief review of known vortex solutions in SU(N) gauge-adjoint Higgs theories we show the existence of a new ``minimal'' vortex solution in SU(3) gauge theory with two adjoint Higgs bosons. At a critical coupling the vortex…

High Energy Physics - Theory · Physics 2009-10-31 F. A. Schaposnik , P. Suranyi

When the Higgs field is nonminimally coupled to gravity, there exists a family of spherically symmetric particlelike solutions to the field equations. These monopoles are the only globally regular and asymptotically flat distributions with…

General Relativity and Quantum Cosmology · Physics 2013-09-19 Andre Fuzfa , Massimiliano Rinaldi , Sandrine Schlogel

We discuss monopoles formed due to the spontaneous breakdown of a global $SO(3)_{\rm HF}$ symmetry within the global two-Higgs doublet model. We explain that the Higgs sector dynamics can be described in terms of two vectors one of which is…

High Energy Physics - Phenomenology · Physics 2023-09-11 Richard A. Battye , Steven J. Cotterill , Dominic G. Viatic

We derive general low energy dynamics of monopoles and dyons in N=2 and N=4 supersymmetric Yang-Mills theories by utilising a collective coordinate expansion. The resulting new kind of supersymmetric quantum mechanics incorporates the…

High Energy Physics - Theory · Physics 2009-10-31 Jerome P. Gauntlett , Chanju Kim , Kimyeong Lee , Piljin Yi

We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in…

High Energy Physics - Theory · Physics 2021-09-09 Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

We show that, in some limit, gravitational instantons correspond to exotic smooth geometry on R^4. The geometry of this exotic R^4 represents magnetic monopoles of Polyakov-'t Hooft type and the BPS condition allows for the generation of…

Mathematical Physics · Physics 2012-11-19 Torsten Asselmeyer-Maluga , Jerzy Król