The isolated point singularity problem for the coupled Yang-Mills equations in higher dimensions

1985 ◽  
Vol 271 (1) ◽  
pp. 125-131 ◽  
Author(s):  
L. M. Sibner
Keyword(s):  
Higher Dimensions ◽  
Point Singularity ◽  
Singularity Problem ◽  
Yang Mills ◽  
Isolated Point

scholarly journals Regular solutions to higher order curvature Einstein–Yang–Mills systems in higher dimensions

2005 ◽  
Vol 22 (24) ◽  
pp. 5201-5222 ◽  
Author(s):  
Peter Breitenlohner ◽  
Dieter Maison ◽  
D H Tchrakian
Keyword(s):  
Higher Dimensions ◽  
Higher Order ◽  
Regular Solutions ◽  
Yang Mills

scholarly journals TOPOLOGICAL BLACK HOLES OF GAUSS–BONNET–YANG–MILLS GRAVITY

2010 ◽  
Vol 19 (07) ◽  
pp. 1107-1117 ◽  
Author(s):  
M. H. DEHGHANI ◽  
N. BOSTANI ◽  
R. POURHASAN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Causal Structure ◽  
Naked Singularity ◽  
Higher Dimensions ◽  
Negative Mass ◽  
Five Dimensions ◽  
Yang Mills ◽  
Extreme Black Hole ◽  
Mills Field

We present the asymptotically AdS solutions of Gauss–Bonnet gravity with hyperbolic horizon in the presence of a non-Abelian Yang–Mills field with the gauge semisimple group So(n(n-1)/2-1, 1). We investigate the properties of these solutions and find that the non-negative mass solutions in six and higher dimensions are real everywhere with spacelike singularities. They present black holes with one horizon and have the same causal structure as the Schwarzschild space–time. The solutions in five dimensions or the solutions in higher dimensions with negative mass are not real everywhere. In these cases, one needs a transformation to make the solutions real. These solutions may present a naked singularity, an extreme black hole, a black hole with two horizons, or a black hole with one horizon.

scholarly journals Scattering of instantons, monopoles and vortices in higher dimensions

2016 ◽  
Vol 13 (03) ◽  
pp. 1650032 ◽  
Author(s):  
Tatiana A. Ivanova
Keyword(s):  
Riemannian Manifold ◽  
Moduli Space ◽  
Higher Dimensions ◽  
Adiabatic Limit ◽  
Classical Dynamics ◽  
Geodesic Motion ◽  
Yang Mills ◽  
Special Holonomy

In this paper, we consider Yang–Mills theory on manifolds [Formula: see text] with a [Formula: see text]-dimensional Riemannian manifold [Formula: see text] of special holonomy admitting gauge instanton equations. Instantons are considered as particle-like solutions in [Formula: see text] dimensions whose static configurations are concentrated on [Formula: see text]. We study how they evolve in time when considered as solutions of the Yang–Mills equations on [Formula: see text] with moduli depending on time [Formula: see text]. It is shown that in the adiabatic limit, when the metric in the [Formula: see text] direction is scaled down, the classical dynamics of slowly moving instantons corresponds to a geodesic motion in the moduli space [Formula: see text] of gauge instantons on [Formula: see text]. Similar results about geodesic motion in the moduli space of monopoles and vortices in higher dimensions are briefly discussed.

scholarly journals Sigma-model limit of Yang–Mills instantons in higher dimensions

2015 ◽  
Vol 894 ◽  
pp. 361-373 ◽  
Author(s):  
Andreas Deser ◽  
Olaf Lechtenfeld ◽  
Alexander D. Popov
Keyword(s):  
Sigma Model ◽  
Higher Dimensions ◽  
Yang Mills
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