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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 obtain spacetimes generated by static and spinning magnetic string sources in Einstein Relativity with negative cosmological constant. Since the spacetime is asymptotically a cylindrical anti-de Sitter spacetime, we will be able to…

High Energy Physics - Theory · Physics 2009-11-07 Oscar J. C. Dias , Jose' P. S. Lemos

Yang-Mills theory is studied in a variant of 't Hooft's maximal Abelian gauge. In this gauge magnetic monopoles arise in the Abelian magnetic field. We show, however, that the full (non-Abelian) magnetic field does not possess any…

High Energy Physics - Theory · Physics 2007-05-23 K. Langfeld , H. Reinhardt , M. Quandt

Static solutions with a bulk dilaton are derived in the context of six dimensional warped compactification. In the string frame, exponentially decreasing warp factors are identified with critical points of the low energy $\beta$-functions…

High Energy Physics - Theory · Physics 2009-10-31 Massimo Giovannini

We consider stationary rotating black holes in SU(2) Einstein-Yang-Mills theory, coupled to a dilaton. The black holes possess non-trivial non-Abelian electric and magnetic fields outside their regular event horizon. While generic solutions…

General Relativity and Quantum Cosmology · Physics 2009-11-10 B. Kleihaus , J. Kunz , F. Navarro-Lerida

We consider non-Abelian dyons in Einstein-Yang-Mills-Higgs theory. The dyons are spherically symmetric with unit magnetic charge. For large values of the electric charge the dyons approach limiting solutions, related to the Penney solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Ulrike Neemann

We construct new axially symmetric solutions of SU(2) Yang-Mills theory in a four dimensional anti-de Sitter spacetime. Possessing nonvanishing nonabelian charges, these regular configurations have also a nonzero angular momentum. Numerical…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Eugen Radu

Attempts to solve Yang-Mills theory must eventually face the problem of analyzing the theory at intermediate values of the coupling constant. In this regime neither perturbation theory nor the gravity dual are adequate, and one must…

High Energy Physics - Theory · Physics 2008-11-26 Iosif Bena , Joseph Polchinski , Radu Roiban

We present a new set of supersymmetric stationary solutions of pure N=4,d=4 supergravity (and, hence, of low-energy effective string theory) that generalize (and include) the Israel-Wilson-Perj\'es solutions of Einstein-Maxwell theory. All…

High Energy Physics - Theory · Physics 2014-11-18 E. Bergshoeff , R. Kallosh , T. Ortin

We present globally regular vortex-type solutions for a pure SU(2) Yang-Mills field coupled to gravity in 3+1 dimensions. These gravitating vortices are static, cylindrically symmetric and purely magnetic, and they support a non-zero…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Gal'tsov , Evgeny A. Davydov , Mikhail S. Volkov

Non K\"ahler Calabi Yau theory is a newly developed subject and it arises naturally in mathematical physics and generalized geometry. The relevant geometrics are pluriclosed metrics which are critical points of the generalized Einstein…

Differential Geometry · Mathematics 2026-01-13 Kuan-Hui Lee

In classical mechanics, solutions can be classified according to their stability. Each of them is part of the possible trajectories of the system. However, the signatures of unstable solutions are hard to observe in an experiment, and most…

Pattern Formation and Solitons · Physics 2021-05-05 Jaime Cisternas , Paula Mellado , Felipe Urbina , Cristóbal Portilla , Miguel Carrasco , Andrés Concha

We consider the elliptic equation $-\Delta u = f(u)$ in the whole $\R^{2m}$, where $f$ is of bistable type. It is known that there exists a saddle-shaped solution in $\R^{2m}$. This is a solution which changes sign in $\R^{2m}$ and vanishes…

Analysis of PDEs · Mathematics 2009-07-20 Xavier Cabre , Joana Terra

The mechanism of confinement in Yang-Mills theories remains a challenge to our understanding of nonperturbative gauge dynamics. While it is widely perceived that confinement may arise from chromo-magnetically charged gauge configurations…

High Energy Physics - Phenomenology · Physics 2018-03-28 Miguel Angel Lopez-Ruiz , Yin Jiang , Jinfeng Liao

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , A D'Adda , P. Provero

We study the existence and instability properties of saddle-shaped solutions of the semilinear elliptic equation $-\Delta u = f(u)$ in the whole $\R^{2m}$, where $f$ is of bistable type. It is known that in dimension $2m=2$ there exists a…

Analysis of PDEs · Mathematics 2008-01-23 Xavier Cabre , Joana Terra

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

Some exact static solutions of the SU(2) Yang-Mills-Higgs theory are presented. These solutions satisfy the first order Bogomol'nyi equations, and possess infinite energies. They are axially symmetric and could possibly represent monopoles…

High Energy Physics - Theory · Physics 2009-10-31 Rosy Teh

We consider solutions of the four dimensional Einstein-Yang-Mills system with a negative cosmological constant $\Lambda=-3g^2$, where $g$ is the nonabelian gauge coupling constant. This theory corresponds to a consistent truncation of…

High Energy Physics - Theory · Physics 2008-11-26 Robert B. Mann , Eugen Radu , D. H. Tchrakian

A non-perturbative anti-normal quantization of relativistic Yang-Mills fields with a compact semisimple gauge group entails an infinite discrete bosonic energy-mass spectrum of gauge bosons in the framework of Gelfand nuclear triples. The…

Mathematical Physics · Physics 2011-06-28 Alexander Dynin