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We introduce a topological field theory with a Bogomol'nyi structure permitting BPS electric, magnetic and dyonic monopoles. From the general arguments given by Montonen and Olive the particle spectrum and mass compare favourably with that…

High Energy Physics - Theory · Physics 2007-05-23 M. Temple-Raston

In the pure Einstein-Yang-Mills theory in four dimensions there exist monopole and dyon solutions. The spectrum of the solutions is discrete in asymptotically flat or de Sitter space, whereas it is continuous in asymptotically anti-de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yutaka Hosotani , Jefferson Bjoraker

Classical 1/4 BPS configurations consist of 1/2 BPS dyons which are positioned by competing static forces from electromagnetic and Higgs sectors. These forces do not follow the simple inverse square law, but can be encoded in some low…

High Energy Physics - Theory · Physics 2016-08-25 Dongsu Bak , Choonkyu Lee , Kimyeong Lee , Piljin Yi

We present several analytical solutions of BPS vortices and monopoles in the generalized Abelian Maxwell-Higgs and Yang-Mills-Higgs theories, respectively. These models have recently been extensively studied and several exact solutions have…

High Energy Physics - Theory · Physics 2016-06-22 Handhika S. Ramadhan

We present the first numerical solution that corresponds to a pair of Cho-Maison monopole and antimonopole (MAP) in the SU(2)$\times$U(1) Weinberg-Salam (WS) theory. The monopoles are finitely separated, while each pole carries magnetic…

High Energy Physics - Phenomenology · Physics 2023-12-12 Dan Zhu , Khai-Ming Wong , Guo-Quan Wong

Recently, the monopole-antimonopole pair and monopole-antimonopole chain solutions are solved with internal space coordinate system of $\theta$-winding number $m$ greater than one. However, we notice that it is also possible to solve these…

High Energy Physics - Theory · Physics 2010-04-29 Rosy Teh , K. M. Wong

Strings in $\mathcal{N}=2$ supersymmetric ${\rm U}(1)^N$ gauge theories with $N$ hypermultiplets are studied in the generic setting of an arbitrary Fayet-Iliopoulos triplet of parameters for each gauge group and an invertible charge matrix.…

High Energy Physics - Theory · Physics 2021-03-11 Sven Bjarke Gudnason , Minoru Eto , Muneto Nitta

We verify the existence of radially symmetric first-order solitons in a gauged $CP(2)$ scenario in which the dynamics of the Abelian gauge field is controlled by the Maxwell-Chern-Simons action. We implement the standard…

High Energy Physics - Theory · Physics 2019-11-05 R. Casana , N. H. Gonzalez-Gutierrez , E. da Hora

Recently, we have discussed the coexistence of a finite energy one-half monopole and a 't Hooft-Polyakov monopole of opposite magnetic charges. In this paper, we would like to introduce electric charge into this new monopoles configuration,…

High Energy Physics - Theory · Physics 2015-06-18 Rosy Teh , Ban-Loong Ng , Khai-Ming Wong

We present explicit expressions for the fields of a charge one BPS monopole with two Dirac singularities. These are solutions of the nonlinear Bogomolny equations with the gauge group U(2) or SO(3). We derive these expressions by applying…

High Energy Physics - Theory · Physics 2008-11-26 Sergey A. Cherkis , Brian Durcan

The dependence of physical properties of the electrically charged two-poles monopole-antimonopole pair (MAP) solutions in the Higgs self-coupling constant is previously investigated. In this paper we study the three-poles…

High Energy Physics - Theory · Physics 2014-12-12 Amin Soltanian , Rosy Teh , Khai-Ming Wong

Preliminary results concerning the time evolution of strongly exited SU(2) Bogomolny-Prasad-Sommerfield (BPS) magnetic monopoles have been published in Phys. Rev. Lett. 92, 151801 (2004). The behavior of these dynamical magnetic monopoles…

High Energy Physics - Theory · Physics 2008-11-26 Gyula Fodor , István Rácz

We construct monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, carrying magnetic charge n. For vanishing and small Higgs selfcoupling, these multimonopole solutions are gravitationally bound. Their mass per unit charge is lower…

High Energy Physics - Theory · Physics 2009-10-31 Betti Hartmann , Burkhard Kleihaus , Jutta Kunz

The behaviour of magnetic monopole solutions of the Einstein-Yang-Mills-Higgs equations subject to linear spherically symmetric perturbations is studied. Using Jacobi's criterion some of the monopoles are shown to be unstable. Furthermore…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Helia Hollmann

Magnetic monopoles and Q-balls are examples of topological and nontopological solitons, respectively. A new soliton state with both topological and nontopological charges is shown to also exist, given a monopole sector with a portal…

High Energy Physics - Phenomenology · Physics 2022-02-09 Yang Bai , Sida Lu , Nicholas Orlofsky

A general analytic spherically symmetric solution of the Bogomol'nyi equations is found. It depends on two constants and one arbitrary function on radius and contains the Bogomol'nyi-Prasad-Sommerfield and Singleton solutions as particular…

General Physics · Physics 2021-10-25 M. O. Katanaev

We study in this paper solutions to several kinds of linear bimatrix equations arising from pole assignment and stability analysis of complex-valued linear systems, which have several potential applications in control theory, particularly,…

Dynamical Systems · Mathematics 2017-08-29 Bin Zhou

The standard model has the electroweak monopole which has the magnetic charge $4\pi/e$, as a hybrid between the Dirac and 'tHooft-Polyakov monopoles. We argue that it may have new type of monopoles, in particular the neutral monopole (``the…

High Energy Physics - Phenomenology · Physics 2025-12-18 Y. M. Cho

We construct, numerically, a solution of the SU(2) Bogomolny equations corresponding to a sheet of BPS monopoles. It represents a domain wall between a vacuum region and a region of constant energy density, and it is the smoothed-out…

High Energy Physics - Theory · Physics 2008-11-26 R. S. Ward

We study solutions to Nahm's equations with continuous symmetries and, under certain (mild) hypotheses, we classify the corresponding Ans\"atze. Using our classification, we construct novel Nahm data, and prescribe methods for generating…

Mathematical Physics · Physics 2022-11-15 Benoit Charbonneau , Anuk Dayaprema , C. J. Lang , Ákos Nagy , Haoyang Yu
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