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We construct dyon solutions in SU(N) with topological electric and magnetic charge. Assuming a |\Phi|^4-like potential for the Higgs field we show that the mass of the dyons is relatively insensitive to the coupling parameter \lambda…

High Energy Physics - Theory · Physics 2010-03-09 Edward A. Olszewski

The moduli space of centred Bogomolny-Prasad-Sommmerfield 2-monopole fields is a 4-dimensional manifold M with a natural metric, and the geodesics on M correspond to slow-motion monopole dynamics. The best-known case is that of monopoles on…

High Energy Physics - Theory · Physics 2015-01-15 R. Maldonado , R. S. Ward

We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number $n$. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific…

High Energy Physics - Theory · Physics 2021-09-01 Alexander A. Penin , Quinten Weller

In this paper, we study the convergence of Yang-Mills-Higgs fields defined on fiber bundles over Riemann surfaces where the fiber is a compact symplectic manifold and the conformal structure of the Riemann surface is allowed to vary. We…

Differential Geometry · Mathematics 2014-10-16 Chong Song

We analyze the spectrum of dyons in N=4 supersymmetric Yang-Mills theory with gauge group SU(3) spontaneously broken down to U(1)xU(1). The Higgs fields select a natural basis of simple roots. Acting with S-duality on the W-boson states…

High Energy Physics - Theory · Physics 2009-10-30 Jerome P. Gauntlett , David A. Lowe

We study gravitating monopoles and non-abelian black holes of SU(2) Einstein-Yang-Mills-Higgs theory coupled to a massless dilaton. The domain of existence of these solutions decreases with increasing dilaton coupling constant. The critical…

High Energy Physics - Theory · Physics 2010-11-19 Yves Brihaye , Betti Hartmann , Jutta Kunz

We study vortex solutions in Abelian Chern-Simons-Higgs theories with visible and hidden sectors. We first consider the case in which the two sectors are connected through a BF-like gauge mixing term with no explicit interaction between the…

High Energy Physics - Theory · Physics 2015-08-18 Paola Arias , Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

We study magnetically charged black holes in the Einstein-Yang-Mills-Higgs theory in the limit of infinitely strong coupling of the Higgs field. Using mixed analytical and numerical methods we give a complete description of static…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Peter C. Aichelburg , Piotr Bizon

Recently, we have reported on the existence of some monopoles, multimonopole, and antimonopoles configurations. In this paper we would like to present more monopoles, multimonopole, and antimonopoles configurations of the magnetic ansatz of…

High Energy Physics - Theory · Physics 2009-11-10 Rosy Teh , Khai-Ming Wong

Within SU(2) Higgs-Proca theory, we obtain a family of nontopological static solutions describing localized, finite-energy configurations (Proca balls). The gauge symmetry of the theory is explicitly broken by introducing a vector Proca…

High Energy Physics - Theory · Physics 2022-02-17 Vladimir Dzhunushaliev , Vladimir Folomeev

In this paper we study spherically symmetric monopoles, which are critical points for the Yang-Mills-Higgs functional over a disk in 3 dimensions, with prescribed degree and covariant constant at the boundary. This is a 3-dimensional…

Differential Geometry · Mathematics 2010-11-19 Antonella Marini , Lorenzo Sadun

We study magnetically charged classical solutions of a spontaneously broken gauge theory interacting with gravity. We show that nonsingular monopole solutions exist only if the Higgs vacuum expectation value $v$ is less than or equal to a…

High Energy Physics - Theory · Physics 2009-10-22 K. Lee , V. P. Nair , Erick J. Weinberg

We study static spherically symmetric gravitating dyon solutions and dyonic black holes in Einstein-Yang-Mills-Higgs theory. The gravitating dyon solutions share many features with the gravitating monopole solutions. In particular,…

High Energy Physics - Theory · Physics 2009-10-31 Yves Brihaye , Betti Hartmann , Jutta Kunz

The existence of the classical black hole solutions of the Einstein-Yang-Mills-Higgs equations with non-abelian Yang-Mills-Higgs hair, which we will also refer to as "magnetic monopole black hole solutions", implies that not all classical…

High Energy Physics - Theory · Physics 2017-03-03 Alexander Gußmann

We consider the Yang-Mills instanton equations on the four-dimensional manifold S^2xSigma, where Sigma is a compact Riemann surface of genus g>1 or its covering space H^2=SU(1,1)/U(1). Introducing a natural ansatz for the gauge potential,…

High Energy Physics - Theory · Physics 2013-05-30 Alexander D. Popov

Let A be the space of irreducible connections (vector potentials) over a SU(n)-principal bundle on a three-dimensional manifold M. Let T be the fiber product of the tangent and cotangent bundles of A. We endow T with a symplectic structure…

Symplectic Geometry · Mathematics 2018-03-20 Tosiaki Kori

We investigate the phase space of topological black hole solutions of ${\mathfrak {su}}(N)$ Einstein-Yang-Mills theory in anti-de Sitter space with a purely magnetic gauge potential. The gauge field is described by $N-1$ magnetic gauge…

General Relativity and Quantum Cosmology · Physics 2016-01-08 J. Erik Baxter , Elizabeth Winstanley

We study vortex solutions in the Born-Infeld theory coupled with a complex scalar field. We show that for a specific form of the "Higgs" potential the vortex satisfies a set of Bogomol'nyi-type equations. Another model, with nonlinear…

High Energy Physics - Theory · Physics 2018-11-06 Kiyoshi Shiraishi , Satoru Hirenzaki

We study isolated singularities of two dimensional Yang-Mills-Higgs fields defined on a fiber bundle, where the fiber space is a compact Riemannian manifold and the structure group is a compact connected Lie group. In general the…

Differential Geometry · Mathematics 2019-07-17 Bo Chen , Chong Song

The tube solutions in Yang - Mills - Higgs theory are received, in which the Higgs field has the negative energy density. This solutions make up the discrete spectrum numered by two integer and have the finite linear energy density.…

High Energy Physics - Theory · Physics 2007-05-23 Vladimir Dzhunushaliev , Alexej Fomin
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