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In this paper, we present a partial result on the global well-posedness of the Cauchy problem for the Einstein-Yang-Mills system in the constant mean extrinsic curvature spatial harmonic and generalized Coulomb gauges as introduced in…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Petar Griggs , Puskar Mondal

We perform Monte Carlo simulations of a supersymmetric matrix model, which is obtained by dimensional reduction of 4D SU(N) super Yang-Mills theory. The model can be considered as a four-dimensional counterpart of the IIB matrix model. We…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , K. N. Anagnostopoulos , W. Bietenholz , T. Hotta , J. Nishimura

Asymptotic symmetries of the Einstein-Yang-Mills system with or without cosmological constant are explicitly worked out in a unified manner. In agreement with a recent conjecture, one finds a Virasoro-Kac-Moody type algebra not only in…

High Energy Physics - Theory · Physics 2013-11-20 Glenn Barnich , Pierre-Henry Lambert

Recently, the {\it spacelike} part of the $SU(2)$ Yang--Mills equations has been identified with geometrical objects of a three--dimensional space of constant Riemann--Cartan curvature. We give a concise derivation of this Ashtekar type…

General Relativity and Quantum Cosmology · Physics 2009-10-22 E. W. Mielke , Y. N. Obukhov , F. W. Hehl

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 construct solutions of an Einstein-Yang-Mills system including a cosmological constant in 4+n space-time dimensions, where the n-dimensional manifold associated with the extra dimensions is taken to be Ricci flat. Assuming the matter and…

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

We use Monte Carlo methods to directly evaluate D-dimensional SU(N) Yang-Mills partition functions reduced to zero Euclidean dimensions, with and without supersymmetry. In the non-supersymmetric case, we find that the integrals exist for…

High Energy Physics - Theory · Physics 2009-10-31 Werner Krauth , Matthias Staudacher

In this letter we consider higher-dimensional Yang-Mills theories and examine their consistent coset space dimensional reduction. Utilizing a suitable ansatz and imposing a simple set of constraints we determine the four-dimensional gauge…

High Energy Physics - Theory · Physics 2008-11-26 Athanasios Chatzistavrakidis , Pantelis Manousselis , Nikolaos Prezas , George Zoupanos

We show that classical, non-supersymmetric Yang-Mills theories coupled to spin-1/2 and spin-0 elementary matter fields, in (3+1)-dimensional Minkowski space-time, possess exact structures that resemble integrability, with an infinite number…

High Energy Physics - Theory · Physics 2025-11-19 L. A. Ferreira , H. Malavazzi

Starting with the most general four-dimensional spacetime possessing two commuting Killing vectors and a nontrivial Killing tensor, we analytically integrate Einstein-Yang-Mills equations for a completely arbitrary gauge group. It is…

High Energy Physics - Theory · Physics 2017-10-11 Gabriel Luz Almeida , Carlos Batista

We study two classes of static uniform black string solutions in a (4+1)-dimensional SU(2) Einstein-Yang-Mills model. These configurations possess a regular event horizon and corresponds in a 4-dimensional picture to axially symmetric black…

High Energy Physics - Theory · Physics 2013-05-29 Y. Brihaye , B. Hartmann , E. Radu

Using spinorial geometry techniques, we classify the supersymmetric solutions of euclidean ${\cal N}=4$ super Yang-Mills theory. These backgrounds represent generalizations of instantons with nontrivial scalar fields turned on, and satisfy…

High Energy Physics - Theory · Physics 2009-10-20 Stephane Detournay , Dietmar Klemm , Carlo Pedroli

A 5-dimensional Einstein spacetime with (non)vanishing cosmological constant is analyzed in detail. The metric is in close analogy with the 4-dimensional massless uncharged C-metric in many aspects. The coordinate system, horizons and…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Wei Xu , Liu Zhao , Bin Zhu

We propose a new nonabelian Kaluza-Klein dyon solution in the seven-dimensional spacetimes. This is a Wu-Yang-like Kaluza-Klein dyon. The dyonic metric is spherically symmetric, two spherical coordinate systems are used, and the metric…

General Relativity and Quantum Cosmology · Physics 2009-11-03 Lou Hsiang-Lin , Li Pei-Hsuan

We investigate the dimensional, the dynamical and the topological structures of four dimensional Einstein and Yang-Mills theories. It is shown that these theories are constructed from two dimensional quantities, so that they possess always…

High Energy Physics - Theory · Physics 2016-09-06 F. Ghaboussi

We consider certain vacua of four-dimensional SU(N) gauge theory with the same field content as the N=4 supersymmetric Yang-Mills theory, resulting from potentials which break the N=4 supersymmetry as well as its global SO(6) symmetry down…

High Energy Physics - Theory · Physics 2015-05-14 Athanasios Chatzistavrakidis , Harold Steinacker , George Zoupanos

We derive a generalization of the flat space Yang's and Newman's equations for self-dual Yang-Mills fields to (locally) conformally Kahler Riemannian 4-manifolds. The results also apply to Einstein metrics (whose full curvature is not…

Differential Geometry · Mathematics 2022-05-18 Bernardo Araneda

We describe an infinite-dimensional algebra of hidden symmetries of N=4 supersymmetric Yang-Mills (SYM) theory. Our derivation is based on a generalization of the supertwistor correspondence. Using the latter, we construct an infinite…

High Energy Physics - Theory · Physics 2008-11-26 Alexander D. Popov , Martin Wolf

We construct a four dimensional Yang-Mills theory with ${\cal N}=4$ twisted supersymmetry whose classical vacua correspond to four dimensional anti-de Sitter space. The theory utilizes a complex gauge field whose real part is a spin…

High Energy Physics - Theory · Physics 2009-01-07 Simon Catterall

By employing the higher dimensional version of the Wu-Yang Ansatz we obtain black hole solutions in the spherically symmetric Einstein-Yang-Mills (EYM) theory. Although these solutions were found recently by other means, our method provides…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Habib Mazharimousavi , M. Halilsoy