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We argue that the Einstein-Yang-Mills theory presents nontrivial solutions with a NUT charge. These solutions approach asymptotically the Taub-NUT spacetime. They are characterized by the NUT parameter, the mass and the node numbers of the…

High Energy Physics - Theory · Physics 2009-11-07 Eugen Radu

We present two generic classes of supersymmetric solutions of N=2, d=4 supergravity coupled to non-Abelian vector supermultiplets with a gauge group that includes an SU(2) factor. The first class consists of embeddings of the 't…

High Energy Physics - Theory · Physics 2008-11-07 M. Huebscher , P. Meessen , T. Ortin , S. Vaula

We consider solutions of the Yang-Mills-Higgs system coupled to gravity in asymptotically de Sitter spacetime. The basic features of two classes of solutions are discussed, one of them corresponding to magnetic monopoles, the other one to…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Betti Hartmann , Eugen Radu

A formulation of $\mathcal{N} = 2$ supersymmetric Yang-Mills theory with a spacetime-dependent gauge coupling allows to study the breaking of conformal symmetry at the quantum level. The theory has an energy-momentum tensor that is only…

High Energy Physics - Theory · Physics 2017-07-19 Marc Gillioz

We propose a systematic way of finding solutions to classical Yang-Mills equation with nontrivial topology. This approach is based on one of Wightman axioms for quantum field theory, which is referred to as form invariance condition in this…

High Energy Physics - Theory · Physics 2021-07-02 Jun Nian , Yachao Qian

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 show that gravity cures the infra-red divergence of the Yang monopole when a proper definition of conserved quantities in curved backgrounds is used, i.e. the gravitating Yang monopole in cosmological Einstein theory has a finite mass in…

High Energy Physics - Theory · Physics 2008-12-30 Hakan Cebeci , Ozgur Sarioglu , Bayram Tekin

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-dilaton theory. Like their spherically symmetric counterparts, these solutions are nonsingular and asymptotically flat. The solutions are characterized by the…

High Energy Physics - Theory · Physics 2016-09-06 Burkhard Kleihaus , Jutta Kunz

A spherically symmetric monopole solution is found in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski spacetime. The action of the Yang-Mills fields is quartic in field strengths. The…

High Energy Physics - Theory · Physics 2011-01-25 Hironobu Kihara , Yutaka Hosotani , Muneto Nitta

We study vortex-type solutions in a (4+1)-dimensional Einstein-Yang-Mills-SU(2) model. Assuming all fields to be independent on the extra coordinate, these solutions correspond in a four dimensional picture to axially symmetric…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Betti Hartmann , Eugen Radu

Classical solutions of the Yang-Mills-dilaton theory in Euclidean space-time are investigated. Our analytical and numerical results imply existence of infinite number of branches of dyonic type solutions labelled by the number of nodes of…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , G. Lavrelashvili

In this work, we find new static, spherically symmetric, dyonic, globally regular exact solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$, in the regime that $|\Lambda|$ is very…

General Relativity and Quantum Cosmology · Physics 2019-02-04 J. Erik Baxter

The aim of this note is to clarify the structure of nontrivial global solutions with nonpositive ADM mass for the static, spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. The presented numerical results…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. Yu. Zotov

The exact solutions (Seiberg-Witten type) of $N=2$ supersymmetric Yang-Mills theory are discussed from the view of Whitham-Toda hierarchy.

High Energy Physics - Theory · Physics 2007-05-23 T. Nakatsu , K. Takasaki

Cosmological models with an SU(2) Yang-Mills field are studied. For a specific model with a minimally coupled Yang-Mills Lagrangian, which includes an arbitrary function of the second-order term and a fourth-order term, a corresponding…

High Energy Physics - Theory · Physics 2013-08-27 E. Elizalde , A. J. Lopez-Revelles , S. D. Odintsov , S. Yu. Vernov

Classical vacuum - pure gauge - solutions of Euclidean two-dimensional SU(2) Yang-Mills theories are studied. Topologically non-trivial vacua are found in a class of gauge group elements isomorphic to $S_2$. These solutions are unexpectedly…

High Energy Physics - Theory · Physics 2009-10-30 A. Bassetto , G. Nardelli

The non-linear nature of Yang-Mills theory presents a challenge for extracting exact classical solutions, which are useful for understanding non-perturbative vacuum structures. In this paper, an algebraic tensor ring decomposition framework…

High Energy Physics - Theory · Physics 2026-05-08 Yu-Xuan Zhang , Jing-Ling Chen

For N>2 we present static monopole solutions of the second order SU(N) BPS Yang-Mills-Higgs equations which are not solutions of the first order Bogomolny equations. These spherically symmetric solutions may be interpreted as monopole…

High Energy Physics - Theory · Physics 2010-11-19 Theodora Ioannidou , Paul M. Sutcliffe

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

In this paper, we show the numerical solution for spherically symmetric SU(2) EinsteinYang-Mills (EYM) equations. We show the existence of entropy weak solution for EYM.

General Relativity and Quantum Cosmology · Physics 2023-07-21 Yuewen Chen , Jie Du , Shing-Tung Yau
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