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In this work, we set up the theoretical framework and indicate future applications of symmetric Yang--Mills fields to cosmology. We analyze the coset space dimensional reduction scheme to construct pure Yang--Mills fields on spacetimes…

High Energy Physics - Theory · Physics 2025-07-01 Mahir Ertürk , Gabriel Picanço

We perform the dual transformation of the Yang-Mills theory in d=3 dimensions using the Wilson action on the cubic lattice. The dual lattice is made of tetrahedra triangulating a 3-dimensional curved manifold but embedded into a flat…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Diakonov , Victor Petrov

We demonstrate that the five vortex equations recently introduced by Manton ariseas symmetry reductions of the anti-self-dual Yang--Mills equations in four dimensions. In particular the Jackiw--Pi vortex and the Ambj\o rn--Olesen vortex…

High Energy Physics - Theory · Physics 2017-09-13 Felipe Contatto , Maciej Dunajski

We consider the superposition of the first two members of the gravitational hierarchy (Einstein plus first Gauss-Bonnet(GB)) interacting with the superposition of the first two members of the $SO_{(\pm)}(d)$ Yang--Mills hierarchy, in $d$…

High Energy Physics - Theory · Physics 2010-11-19 Y. Brihaye , A. Chakrabarti , D. H. Tchrakian

We study the spectrum of anomalous dimensions of operators dual to giant graviton branes. The operators considered belong to the su$(2|3)$ sector of ${\cal N}=4$ super Yang-Mills theory, have a bare dimension $\sim N$ and are a linear…

High Energy Physics - Theory · Physics 2020-12-02 Robert de Mello Koch , Jia-Hui Huang , Minkyoo Kim , Hendrik J. R. Van Zyl

We present the (1+1)-dimensional description of the algebraically special class of space-times of 4-dimensions. It is described by the (1+1)-dimensional Yang-Mills action interacting with matter fields, with diffeomorphisms of 2-surface as…

High Energy Physics - Theory · Physics 2007-05-23 J. H. Yoon

It is well known that by using the infinite dimensional symmetries that issue from string theories, one can build 2D geometric field theories. These 2D field theories can be identified with gravitational and gauge anomalies that arise in…

High Energy Physics - Theory · Physics 2008-02-03 R. P. Lano , V. G. J. Rodgers

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

Recently a special vortex string was found [5] in a class of soliton vortices supported in four-dimensional Yang-Mills theories that under certain conditions can become infinitely thin and can be interpreted as a critical ten-dimensional…

High Energy Physics - Theory · Physics 2016-06-14 P. Koroteev , M. Shifman , A. Yung

We classify the supersymmetric mass deformations of all the super Yang-Mills quantum mechanics, which are obtained by dimensional reductions of minimal super Yang-Mills in spacetime dimensions: ten, six, four, three and two. The resulting…

High Energy Physics - Theory · Physics 2008-11-26 Nakwoo Kim , Jeong-Hyuck Park

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…

General Relativity and Quantum Cosmology · Physics 2010-08-12 M. H. Dehghani , N. Bostani , R. Pourhasan

Vortices and coupled vortices arise from Yang-Mills-Higgs theories and can be viewed as generalizations or analogues to Yang-Mills connections and, in particular, Hermitian-Yang-Mills connections. We proved an analytic compactification of…

Differential Geometry · Mathematics 2007-05-23 Gang Tian , Baozhong Yang

The $N=2$ supersymmetric {\it self-dual} Yang-Mills theory and the $N=4$ and $N=2$ {\it self-dual} supergravities in $2+2$ space-time dimensions are formulated for the first time. These formulations utilize solutions of the Bianchi…

High Energy Physics - Theory · Physics 2012-08-27 S. J. Gates, , H. Nishino , S. V. Ketov

A weak quantum mechanical coupling is constructed permitting superluminal communication within a preferred region of a gravitating AdS_5 spacetime. This is achieved by adding a spatially non-local perturbation of a special kind to the…

High Energy Physics - Theory · Physics 2008-11-26 Raman Sundrum

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

We uplift 5-dimensional super-Yang-Mills theory to a 6-dimensional gauge theory with the help of a space-like constant vector $\eta^M$, whose norm determines the Yang-Mills coupling constant. After the localization of $\eta^M$ the 6D gauge…

High Energy Physics - Theory · Physics 2015-05-28 Harvendra Singh

Motivated by Gibbons and Townsend's recent work, we construct Yang-Type monopoles in maximally symmetric space-time. We then analyze the dependence of horizon structure of the space-times around the 5-dimensional monopoles on the relative…

High Energy Physics - Theory · Physics 2016-09-06 Ding-fang Zeng , Wei-shui Xu , Yi-hong Gao

It is shown that a pair of vortex and anti-vortex is completely screened in 2+1 dimensional Yang-Mills theory and 3+1 dimensional Yang-Mills theory in the strong coupling limit, based on the recent conjecture of Maldacena. This is…

High Energy Physics - Theory · Physics 2010-02-03 Miao Li

We analyse the spacetime structure of the global vortex and its maximal analytic extension in an arbitrary number of spacetime dimensions. We find that the vortex compactifies space on the scale of the Hubble expansion of its worldvolume,…

High Energy Physics - Theory · Physics 2017-08-23 Ruth Gregory , Caroline Santos

It is demonstrated that there are smooth Yang-Mills potentials which correspond to monopoles and vortices of one-half winding number. They are the generic configurations, in contrast to the integral winding number configurations like the 't…

High Energy Physics - Theory · Physics 2009-11-10 E. Harikumar , Indrajit Mitra , H. S. Sharatchandra