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The field equations of pre-geometric theories of gravity are derived and analysed, both without and with matter. After the spontaneous symmetry breaking that reduces the gauge symmetry of these theories \`a la Yang-Mills, a metric structure…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Giuseppe Meluccio

In Einstein-Maxwell theory black holes are uniquely determined by their mass, their charge and their angular momentum. This is no longer true in Einstein-Yang-Mills theory. We discuss sequences of neutral and charged SU(N)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Kleihaus , J. Kunz , A. Sood , M. Wirschins

We study at the classical and quantum mechanical level the time-dependent Yang-Mills theory that one obtains via the generalisation of discrete light-cone quantisation to singular homogeneous plane waves. The non-Abelian nature of this…

High Energy Physics - Theory · Physics 2015-03-13 Martin O'Loughlin , Lorenzo Seri

We discuss Petrov type D Einstein-Maxwell fields in which both double null eigenvectors of the Weyl tensor are non-aligned with the eigenvectors of a non-null electromagnetic field and are assumed to be geodesic, shear-free, diverging and…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Norbert Van den Bergh , John Carminati

We construct static axially symmetric solutions of SU(2) Einstein-Yang-Mills-Higgs theory in the topologically trivial sector, representing gravitating monopole--antimonopole pairs, linked to the Bartnik-McKinnon solutions.

High Energy Physics - Theory · Physics 2009-10-31 B. Kleihaus , J. Kunz

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Simon J. Clark , Robin W. Tucker

Ordinary-derivative (second-derivative) Lagrangian formulation of classical conformal Yang-Mills field in the (A)dS space of six, eight, and ten dimensions is developed. For such conformal field, we develop two gauge invariant Lagrangian…

High Energy Physics - Theory · Physics 2024-10-04 R. R. Metsaev

A continuum of new monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter space are found. They are regular everywhere and specified with their mass, and non-Abelian electric and magnetic charges. A…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jefferson Bjoraker , Yutaka Hosotani

The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

High Energy Physics - Theory · Physics 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

The purpose of this study is to show that the exact solutions to Yang-Mills theory can occur in two-dimensional space-time. We show that the instability of the stationary solutions for the nonabelian gauge field theories questioned by the…

High Energy Physics - Theory · Physics 2018-05-24 Abolfazl Jafari

Numerical evidence is presented for the existence of a new family of static, globally regular `cosmological' solutions of the spherically symmetric Einstein-Yang-Mills-Higgs equations. These solutions are characterized by two natural…

General Relativity and Quantum Cosmology · Physics 2010-11-19 P. Breitenlohner , P. Forgács , D. Maison

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

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

We study the transformation law of quantum fields in super Yang-Mills theory quantized in the Wess-Zumino gauge. It can be derived from a local version of generalized Slavnov-Taylor identities for general Green functions. Under suitable…

High Energy Physics - Theory · Physics 2009-11-07 Christian Rupp , Klaus Sibold

New static regular axially symmetric solutions of SU(2) Yang-Mills-Higgs theory are constructed. They are asymptotically flat and represent gravitating monopole-monopole pairs. The solutions form two branches linked to the second…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasha Shnir

We solve N=2 supersymmetric Yang-Mills theories for arbitrary classical gauge group, i.e. SU(N), SO(N), Sp(N). In particular, we derive the prepotential of the low-energy effective theory, and the corresponding Seiberg-Witten curves. We…

High Energy Physics - Theory · Physics 2009-11-10 Nikita Nekrasov , Sergey Shadchin

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

Six-dimensional N=(1,0) Einstein-Maxwell gauged supergravity is known to admit a (Minkowski)_4\times S^2 vacuum solution with four-dimensional N=1 supersymmetry. The massless sector comprises a supergravity multiplet, an SU(2) Yang-Mills…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , C. N. Pope

The purpose of the present work is to extend the earlier results for asymptotically flat vacuum space-times to asymptotically flat solutions of the Einstein-Maxwell equations. Once again, in this case, we get a class of asymptotically…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Ezra T. Newman , Gilberto Silva-Ortigoza

We consider Maxwell fields associated with any shear-free null geodesic congruence on Minkowski or Riemannian background space-time. Bounded singular loci of these fields are treated as particle-like formations, possess "self-quantized"…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Vladimir V. Kassandrov , Vladimir N. Trishin