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As shown by Taubes, in the Bogomol'nyi-Prasad-Sommerfield limit the SU(2) Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not satisfy the first order Bogomol'nyi equations. We construct numerically such a…

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , Jutta Kunz

We investigate all spherically symmetric fundamental monopole solutions with fixed topological charge in the SU(5) --> SU(3)xSU(2)xU(1)/Z_3xZ_2 symmetry breaking. We find that there is three-fold replication of the monopoles. The three…

High Energy Physics - Theory · Physics 2010-11-19 Levon Pogosian , Daniele A. Steer , Tanmay Vachaspati

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

We consider a Yang-Mills-Higgs theory with gauge group $G=SU(n)$ broken to $G_{v} = [SU(p)\times SU(n-p)\times U(1)]/Z$ by a Higgs field in the adjoint representation. We obtain monopole solutions whose magnetic field is not in the Cartan…

High Energy Physics - Theory · Physics 2019-01-18 Maria de Lourdes Z. P. Deglmann , Marco A. C. Kneipp

In this work we establish every spherically symmetric non-Abelian Z(2) monopole generated by su(2) embeddings in the SU(4) Yang-Mills-Higgs model minimally broken to SO(4) by a symmetric second-rank tensor Higgs field. We find new monopole…

High Energy Physics - Theory · Physics 2025-05-26 Eduardo E. Quadros , Paulo J. Liebgott

We consider axially symmetric SU(2) Yang-Mills-Higgs (YMH) multimonopoles in Brans-Dicke theory for winding number n > 1. In analogy to the spherically symmetric n=1 solutions, we find that the axially symmetric solutions exist for higher…

High Energy Physics - Theory · Physics 2014-11-18 Betti Hartmann

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

Behavior of static axially symmetric monopole-antimonopole and vortex ring solutions of the SU(2) Yang-Mills-Higgs theory in an external uniform magnetic field is considered. It is argued that the axially symmetric monopole-antimonopole…

High Energy Physics - Theory · Physics 2009-11-11 Yasha Shnir

Low energy dynamics of magnetic monopoles and anti-monopoles in the U(2) gauge theory is studied in the Higgs (non-Abelian superconducting) phase. The monopoles in this superconducting phase are not spherical but are of slender ellipsoid…

High Energy Physics - Theory · Physics 2015-06-22 Masato Arai , Filip Blaschke , Minoru Eto , Norisuke Sakai

We study static spherically symmetric monopole solutions in non-Abelian Einstein-Born-Infeld-Higgs model with normal trace structure. These monopoles are similar to the corresponding solution with symmetrised trace structure and are…

High Energy Physics - Theory · Physics 2009-10-31 Prasanta K. Tripathy , Fidel A. Schaposnik

We review classical monopole solutions of the SU(2) Yang-Mills-Higgs theory. The first part is a pedagogical introduction into to the basic features of the celebrated 't Hooft - Polyakov monopole. In the second part we describe new classes…

High Energy Physics - Theory · Physics 2017-08-23 Yasha Shnir

We give arguments for the existence of ``radial excitations'' of gravitational global monopoles with any number of zeros of the Higgs field and present numerical results for solutions with up to two zeros. All these solutions possess a de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dieter Maison

Classical and quantum dynamics of two distinct BPS monopoles in the case of non-aligned Higgs fields are studied on the basis of the recently determined low energy effective theory. Despite the presence of a specific potential together with…

High Energy Physics - Theory · Physics 2009-10-31 Choonkyu Lee , Kimyeong Lee

We find both analytical and numerical solutions of SU(2) Yang-Mills with an adjoint Higgs field within both closed and open tubes whose sections are spherical caps. This geometry admits a smooth limit in which the space-like metric is flat…

High Energy Physics - Theory · Physics 2015-06-22 Fabrizio Canfora , Gianni Tallarita

The existence of nonsingular classical magnetic monopole solutions is usually understood in terms of topologically nontrivial Higgs field configurations. We show that finite energy magnetic monopole solutions also exist within a class of…

High Energy Physics - Theory · Physics 2009-10-28 Kimyeong Lee , Erick J. Weinberg

We study the properties of classical vortex solutions in a non-Abelian gauge theory. A system of two adjoint Higgs fields breaks the SU(2) gauge symmetry to $Z_2$, producing 't Hooft-Polyakov monopoles trapped on cosmic strings, termed…

High Energy Physics - Theory · Physics 2016-12-15 Mark Hindmarsh , Kari Rummukainen , David J. Weir

Existence of SL(2,Z) duality in toroidally compactified heterotic string theory (or in the N=4 supersymmetric gauge theories), that includes the strong weak coupling duality transformation, implies the existence of certain supersymmetric…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory in the topologically trivial sector, representing gravitating monopole--antimonopole pairs, linked to the Bartnik-McKinnon solutions.

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , J. Kunz

We study SU(2) BPS monopoles with spectral curves of the form $\eta^3+\chi(\zeta^6+b \zeta^3-1)=0$. Previous work has has established a countable family of solutions to Hitchin's constraint that $L^2$ was trivial on such a curve. Here we…

Mathematical Physics · Physics 2014-11-20 H. W. Braden , V. Z. Enolski

We investigate the role of massless magnetic monopoles in the N=4 supersymmetric Yang-Mills Higgs theories. They can appear naturally in the 1/4-BPS dyonic configurations associated with multi-pronged string configurations. Massless…

High Energy Physics - Theory · Physics 2009-10-31 Kimyeong Lee