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Related papers: On Yang-Mills fields from anti-de Sitter spaces

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We construct a non-Abelian gauge theory of chiral 2-forms (self-dual gauge fields) in 6 dimensions with a spatial direction compactified on a circle of radius R. It has the following two properties. (1) It reduces to the Yang-Mills theory…

High Energy Physics - Theory · Physics 2011-07-13 Pei-Ming Ho , Kuo-Wei Huang , Yutaka Matsuo

We consider extension of some established techniques of study of tensor fields on Lorentzian manifolds of arbitrary dimension to non-Abelian gauge covariant fields. These are then applied to study of gauge fields with vanishing scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Martin Kuchynka

We extend the traditional formulation of Gauge Field Theory by incorporating the (non-Abelian) gauge group parameters (traditionally simple spectators) as new dynamical (nonlinear-sigma-model-type) fields. These new fields interact with the…

High Energy Physics - Theory · Physics 2014-11-18 V Aldaya , M Calixto , F F Lopez-Ruiz , E Sanchez-Sastre

We consider the Yang-Mills equations with a matrix gauge group $G$ on the de Sitter dS$_4$, anti-de Sitter AdS$_4$ and Minkowski $R^{3,1}$ spaces. On all these spaces one can introduce a doubly warped metric in the form $d s^2 =-d u^2 + f^2…

High Energy Physics - Theory · Physics 2016-02-24 Alexander D. Popov

The anisotropic 5D SU(2) Yang-Mills model has been widely investigated on the lattice during the last decade. In the case where all dimensions are large in size, it was previously claimed that there is a new phase in the phase diagram,…

High Energy Physics - Lattice · Physics 2013-09-25 Luigi Del Debbio , Richard D. Kenway , Eliana Lambrou , Enrico Rinaldi

It is shown that a $d$-dimensional classical SU(N) Yang-Mills theory can be formulated in a $d+2$-dimensional space, with the extra two dimensions forming a surface with non-commutative geometry.

High Energy Physics - Theory · Physics 2009-11-11 Jean Iliopoulos

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

Four dimensional gauge theories in anti-de Sitter space, including pure Yang-Mills theory, exhibit a quantum phase transition between a deconfined phase and a confined phase as the gauge coupling is varied. We explore various mechanisms by…

High Energy Physics - Theory · Physics 2015-06-11 Ofer Aharony , Micha Berkooz , David Tong , Shimon Yankielowicz

A new topological conformal field theory in four Euclidean dimensions is constructed from N=4 super Yang-Mills theory by twisting the whole of the conformal group with the whole of the R-symmetry group, resulting in a theory that is…

High Energy Physics - Theory · Physics 2009-11-07 Paul de Medeiros , Jose Figueroa-O'Farrill , Christopher Hull , Bill Spence

Recently proposed extension of Yang-Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing non-linear interaction of tensor gauge fields with the…

High Energy Physics - Theory · Physics 2011-05-09 George Savvidy

We study Yang-Baxter deformations of 4D Minkowski spacetime. The Yang-Baxter sigma model description was originally developed for principal chiral models based on a modified classical Yang-Baxter equation. It has been extended to coset…

High Energy Physics - Theory · Physics 2015-05-19 Takuya Matsumoto , Domenico Orlando , Susanne Reffert , Jun-ichi Sakamoto , Kentaroh Yoshida

Just recently, the class of all Einstein-Maxwell fields solving simultaneously also any higher-order modification of the Eintein-Maxwell theory has been completely identified. In the present work, we argue that, in view of our recent…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Martin Kuchynka

In the recently proposed generalization of the Yang-Mills theory the group of gauge transformation gets essentially enlarged. This enlargement involves an elegant mixture of the internal and space-time symmetries. The resulting group is an…

High Energy Physics - Theory · Physics 2011-01-04 George Savvidy

Doubling a Yang-Mills field we apply the pattern which has been found to construct a "duality-symmetric" gravity with matter to the "duality-symmetric" Yang - Mills theory in five space-time dimensions. Constructing the action we conclude…

High Energy Physics - Theory · Physics 2007-05-23 Alexei J. Nurmagambetov

In the context of scalar-tensor theories, the inclusion of new degrees of freedom coupled non-minimally to the gravitational sector might produce some appealing effects on the cosmic expansion history. We investigate this premise by…

General Relativity and Quantum Cosmology · Physics 2022-05-04 L. Gabriel Gomez , Yeinzon Rodriguez , Juan P. Beltran Almeida

Using the covariant phase space formalism, we construct the phase space for non-Abelian gauge theories in $(d+2)$-dimensional Minkowski spacetime for any $d \geq 2$, including the edge modes that symplectically pair to the low energy…

High Energy Physics - Theory · Physics 2024-06-05 Temple He , Prahar Mitra

Following a previous work on Abelian (2,0)-gauge theories, one reassesses here the task of coupling (2,0) relaxed Yang-Mills superpotentials to a (2,0)- nonlinear $\sigma$-model, by gauging the isotropy or the isometry group of the latter.…

High Energy Physics - Theory · Physics 2009-11-07 M. S. Goes-Negrao , J. A. Helayel-Neto , and M. R. Negrao

The procedure of null reduction provides a concrete way of constructing field theories with Galilean invariance. We use this to examine Galilean gauge theories, viz. Galilean electrodynamics and Yang-Mills theories in spacetime dimensions 3…

High Energy Physics - Theory · Physics 2022-05-18 Arjun Bagchi , Rudranil Basu , Minhajul Islam , Kedar S. Kolekar , Aditya Mehra

We study four dimensional supersymmetric gauge theory on the noncommutative superspace, recently proposed by Seiberg. We construct the gauge-invariant action of N=1 super Yang-Mills theory with chiral and antichiral superfields, which has…

High Energy Physics - Theory · Physics 2010-04-05 Takeo Araki , Katsushi Ito , Akihisa Ohtsuka

We consider the map of three-dimensional N=4 superfields to N=3 harmonic superspace. The left and right representations of the N=4 superconformal group are constructed on N=3 analytic superfields. These representations are convenient for…

High Energy Physics - Theory · Physics 2010-11-09 B. M. Zupnik