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N=2 supersymmetric Yang-Mills theories for all classical gauge groups, that is, for SU(N), SO(N), and Sp(N) is considered. The equations which define the Seiberg-Witten curve are proposed. In some cases they are solved. It is shown that for…

High Energy Physics - Theory · Physics 2008-11-26 Sergey Shadchin

Static, spherically symmetric solutions with regular origin are investigated of the Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$. A combination of numerical and analytical methods leads to a clear picture of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Peter Breitenlohner , Dieter Maison , George Lavrelashvili

We present new static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory, representing chains of monopoles and antimonopoles in static equilibrium. They correspond to saddlepoints of the energy functional and exist both in the…

High Energy Physics - Theory · Physics 2009-11-10 B. Kleihaus , J. Kunz , Ya. Shnir

The Einstein-Yang-Mills equations are the source of many interesting solutions within general relativity, including families of particle-like and black hole solutions, and critical phenomena of more than one type. These solutions,…

General Relativity and Quantum Cosmology · Physics 2018-08-27 Daniel Jackson

We consider the spherically symmetric SU(2) Yang-Mills Fields on the Schwarzschild metric. Within the so called purely magnetic Ansatz we show that there exists a countable number of stationary solutions which are all nonlinearly unstable.

Analysis of PDEs · Mathematics 2016-12-21 Dietrich Häfner , Cécile Huneau

We investigate dyonic black hole and dyon solutions of four-dimensional $SU(N)$ Einstein-Yang-Mills theory with a negative cosmological constant. We derive a set of field equations in this case, and prove the existence of non-trivial…

General Relativity and Quantum Cosmology · Physics 2016-02-04 J. Erik Baxter

We discuss the new class of static axially symmetric black hole solutions obtained recently in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are asymptotically flat and they possess a regular event…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz

We present analytical and numerical results for static, spherically symmetric solutions of the Einstein Yang-Mills Higgs equations corresponding to magnetic monopoles and non-abelian magnetically charged black holes. In the limit of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Peter Breitenlohner , Peter Forgacs , Dieter Maison

We consider extended covariant teleparallel $(f(T))$ gravity whose action is analytic in the torsion scalar and which is sourced by an $su(2)$ valued Yang-Mills field. Specifically, we search for regular solutions to the coupled $f(T)$…

General Relativity and Quantum Cosmology · Physics 2018-10-02 Andrew DeBenedictis , Sasa Ilijic

We show that a non-trivial topological effect breaks the conformal invariance of pure Yang-Mills theory. Thus it is possible that classic particle-like solutions exists in pure non-Abelian Yang-Mills theory. We find a static, non-singular…

High Energy Physics - Theory · Physics 2007-05-23 X. -J. Wang , M. -L. Yan

The set of all possible spherically symmetric magnetic static Einstein-Yang-Mills field equations for an arbitrary compact semi-simple gauge group $G$ was classified in two previous papers. Local analytic solutions near the center and a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Todd A. Oliynyk , H. P. Kunzle

We present a classification of the possible regular, spherically symmetric solutions of the Einstein-Yang-Mills system which is based on a bundle theoretical analysis for arbitrary gauge groups. It is shown that such solitons must be of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 O. Brodbeck , N. Straumann

With the help of the Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field, we find an integrable subsystem of SU(2) Yang-Mills theory coupled to the dilaton. Here integrability means the existence of infinitely many…

High Energy Physics - Theory · Physics 2010-11-11 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

We present a one-parameter family of stationary, asymptotically flat solutions of the Einstein-Maxwell equations with only a mild singularity, which are endowed with mass, angular momentum, a dipole magnetic moment and a quadrupole electric…

General Relativity and Quantum Cosmology · Physics 2017-06-15 Gérard Clément , Dmitri Gal'tsov

We argue that the Einstein-Yang-Mills-Higgs theory presents nontrivial solutions with a NUT charge. These solutions approach asymptotically the Taub-NUT spacetime and generalize the known dyon black hole configurations. The main properties…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yves Brihaye , Eugen Radu

We consider Penrose limits of the Klebanov-Strassler and Maldacena-Nunez holographic duals to N =1 supersymmetric Yang-Mills. By focusing in on the IR region we obtain exactly solvable string theory models. These represent the…

High Energy Physics - Theory · Physics 2009-11-07 Eric G. Gimon , Leopoldo A. Pando Zayas , Jacob Sonnenschein , Matthew J. Strassler

Here we study the global existence of `hairy' dyonic black hole and dyon solutions to four dimensional, anti-de Sitter Einstein-Yang-Mills theories for a general simply-connected and semisimple gauge group $G$, for so-called topologically…

General Relativity and Quantum Cosmology · Physics 2018-12-14 J. Erik Baxter

In this paper we show that problem of proving the existence of a countable number of solutions to the static spherically symmetric SU(2) Einstein-Yang-Mills-dilaton (EYMd) equations can be reduced to proving the non-existence of solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Todd Oliynyk

Three different classes of static solutions of the Einstein--Maxwell equations non--minimally coupled to a dilaton field are presented. The solutions are given in general in terms of two arbitrary harmonic functions and involve among others…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tonatiuh Matos , Darío Núñez , Hernando Quevedo

We construct a new class of asymptotically flat black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These black hole solutions are static, and they have a regular event horizon. However, they possess only…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Burkhard Kleihaus , Jutta Kunz