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Related papers: Exact gauge fields from anti-de Sitter space

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Motivated by some recent progress involving a non-compact gauge group, we obtain classical gauge fields using non-compact foliations of anti-de Sitter space in 4 dimensions (required dimensionality for conformal invariance of Yang-Mills…

High Energy Physics - Theory · Physics 2023-10-03 Kaushlendra Kumar

We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter dS$_4$ and anti-de Sitter AdS$_4$ spaces and construct various solutions to the Yang-Mills equations. On de Sitter space we reduce the Yang-Mills equations via an…

High Energy Physics - Theory · Physics 2017-12-06 Tatiana A. Ivanova , Olaf Lechtenfeld , Alexander D. Popov

We construct new finite energy regular solutions in Einstein-Yang-Mills-SU(2) theory. They are static, axially symmetric and approach at infinity the anti-de Sitter spacetime background. These configurations are characterized by a pair of…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

This doctoral work deals with the analysis of some Yang-Mills solutions on 4-dimensional de Sitter space d$S_4$. The conformal equivalence of this space with a finite Lorentzian cylinder over the 3-sphere and also with parts of Minkowski…

High Energy Physics - Theory · Physics 2022-08-12 Kaushlendra Kumar

For gauge groups SO$(n{+}1)$, SU$(m{+}1)$ and Sp$(\ell{+}1)$, we construct equivariant Yang-Mills solutions on de Sitter space in $n{+}1$, $2(m{+}1)$ and $4(\ell{+}1)$ spacetime dimensions. The latter is conformally mapped to a finite…

High Energy Physics - Theory · Physics 2018-10-17 Olaf Lechtenfeld , Gönül Ünal

We find a two-parameter family of solutions of the Yang-Mills equations for gauge group SO(1,3) on Minkowski space by foliating different parts of it with non-compact coset spaces with SO(1,3) isometry. The interior of the lightcone is…

High Energy Physics - Theory · Physics 2022-11-16 Kaushlendra Kumar , Olaf Lechtenfeld , Gabriel Picanço Costa , Jona Röhrig

It is well known that there are no static non-Abelian monopole solutions in pure Yang-Mills theory on Minkowski space R^{3,1}. We show that such solutions exist in SU(N) gauge theory on the spaces R^2\times S^2 and R^1\times S^1\times S^2…

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

For the first time, a complete classification of all constant solutions of the Yang-Mills-Dirac equations with SU(2) gauge symmetry in Minkowski space ${\mathbb R}^{1,3}$ is given. The explicit form of all solutions is presented. We use the…

Mathematical Physics · Physics 2023-09-27 D. S. Shirokov

We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter space dS$_4$ and construct a smooth and spatially homogeneous magnetic solution to the Yang-Mills equations. Slicing dS$_4$ as ${\mathbb R}\times S^3$, via an…

High Energy Physics - Theory · Physics 2017-08-16 Tatiana A. Ivanova , Olaf Lechtenfeld , Alexander D. Popov

We construct numerically new axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in $(3+1)$ anti-de Sitter spacetime. Two types of finite energy, regular configurations are considered: multimonopole solutions with magnetic charge…

High Energy Physics - Theory · Physics 2009-11-10 Eugen Radu , D. H. Tchrakian

We present a novel family of Yang-Mills solutions, with gauge group SO(1,3), on Minkowski space that are geometrically distinguished into two classes, viz. interior and exterior of the lightcone. We achieve this by foliating the former with…

High Energy Physics - Theory · Physics 2022-12-05 Kaushlendra Kumar

We present exact solutions in Einstein-Yang-Mills-Dirac theories with gauge groups SU(2) and SU(4) in Robertson-Walker space-time $R \times S^3 $, which are symmetric under the action of the group SO(4) of spatial rotations. Our approach is…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gerd Rudolph , Torsten Tok , Igor P. Volobuev

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

N=(1,0) supergravity in six dimensions admits AdS_3\times S^3 as a vacuum solution. We extend our recent results presented in hep-th/0212323, by obtaining the complete N=4 Yang-Mills-Chern-Simons supergravity in D=3, up to quartic fermion…

High Energy Physics - Theory · Physics 2009-10-07 H. Lu , C. N. Pope , E. Sezgin

We consider axially symmetric solutions of SU(2) Yang-Mills-Higgs theory in globally AdS spacetime and a fixed Schwarzschild-AdS black hole background. The solutions are characterized by two integers $(m,n)$ where $m$ is related to the…

High Energy Physics - Theory · Physics 2013-05-30 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

We give exact solutions for a recently developed ~$N=1$~ locally supersymmetric self-dual gauge theories in $~(2+2)\-$dimensions. We give the exact solutions for an $~SL(2)$~ self-dual Yang-Mills multiplet and what we call ``self-dual…

High Energy Physics - Theory · Physics 2009-10-22 Hitoshi Nishino

We obtain D=4 de Sitter gravity coupled to SU(2) Yang-Mills gauge fields from an explicit and consistent truncation of D=11 supergravity via Kaluza-Klein dimensional reduction on a non-compact space. The ``internal'' space is a smooth…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , J. F. Vazquez-Poritz

In this paper, we present all constant solutions of the Yang-Mills equations with ${\rm SU}(2)$ gauge symmetry for an arbitrary constant non-Abelian current in Euclidean space ${\mathbb R}^n$ of arbitrary finite dimension $n$. Using the…

Mathematical Physics · Physics 2020-03-03 D. S. Shirokov

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

In the context of a semiclassical approach where vectorial gauge fields can be considered as classical fields, we obtain exact static solutions of the SU(N) Yang-Mills equations in a $(n+1)$ dimensional curved space-time, for the cases $n =…

High Energy Physics - Theory · Physics 2015-06-05 J. A. Sanchez-Monroy , C. J. Quimbay
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