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A class of two dimensional field theories, based on (generically degenerate) Poisson structures and generalizing gravity-Yang-Mills systems, is presented. Locally, the solutions of the classical equations of motion are given. A general…

High Energy Physics - Theory · Physics 2015-06-26 Peter Schaller , Thomas Strobl

This work explores the possibility of obtaining a mass gap in Yang-Mills theories via the intrinsic gauge bosons, without invoking a separate Higgs boson or fermion-antifermion pairs. Instead, pairs of gauge bosons in the spin and isospin…

High Energy Physics - Phenomenology · Physics 2018-05-10 F. J. Himpsel

The theory of Poisson-$\sigma$-models employs the mathematical notion of Poisson manifolds to formulate and analyze a large class of topological and almost topological two dimensional field theories. As special examples this class of field…

High Energy Physics - Theory · Physics 2015-06-26 Peter Schaller , Thomas Strobl

We consider Yang-Mills theory with N=2 super translation group in ten auxiliary dimensions as the structure group. The gauge theory is defined on a direct product manifold \Sigma_2\times H^2, where \Sigma_2 is a two-dimensional Lorentzian…

High Energy Physics - Theory · Physics 2015-08-14 Alexander D. Popov

Studies of noncommutative gauge theory have mainly focused on noncommutative spacetimes with constant noncommutative structure, with little known about actions for noncommutative 4D Yang-Mills theory beyond this case. We construct an action…

High Energy Physics - Theory · Physics 2023-02-07 Tim Meier , Stijn J. van Tongeren

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Fabien Clement , Betti Hartmann

We write a gravity theory with Yang-Mills type action using the biconformal gauging of the conformal group. We show that the resulting biconformal Yang-Mills gravity theories describe 4-dim, scale-invariant general relativity in the case of…

High Energy Physics - Theory · Physics 2009-11-10 Lara B. Anderson , James T. Wheeler

We study pion in the holographic model of Hirn and Sanz which contains two Yang-Mills fields defined in the background of the sliced AdS space. The infrared boundary conditions imposed on these fields generate the spontaneous breaking of…

High Energy Physics - Phenomenology · Physics 2008-12-15 Hovhannes R. Grigoryan , Anatoly V. Radyushkin

Supersymmetry is one of the possible scenarios for physics beyond the standard model. The building blocks of this scenario are supersymmetric gauge theories. In our work we study the $\mathcal{N}=1$ Super-Yang-Mills (SYM) theory with gauge…

High Energy Physics - Lattice · Physics 2018-04-18 Daniel August , Björn Wellegehausen , Andreas Wipf

Gravitational and gauge anomalies provide stringent constraints on which subset of chiral models can effectively describe M-theory at low energy. In this paper, we explicitly construct an abelian orbifold of M-theory to obtain an N=1,…

High Energy Physics - Theory · Physics 2007-05-23 Charles F. Doran , Michael Faux , Burt A. Ovrut

We show that the noncommutative Yang-Mills field forms an irreducible representation of the (undeformed) Lie algebra of rigid translations, rotations and dilatations. The noncommutative Yang-Mills action is invariant under combined…

High Energy Physics - Theory · Physics 2011-09-13 A. A. Bichl , J. M. Grimstrup , H. Grosse , E. Kraus , L. Popp , M. Schweda , R. Wulkenhaar

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

A Yang-Mills theory linear in the scalar curvature for 2d gravity with symmetry generated by the semidirect product formed with the Lie derivative of the algebra of diffeomorphisms with the two-dimensional Abelian algebra is formulated. As…

High Energy Physics - Theory · Physics 2022-02-02 Sara Abentin , Fernando Ruiz Ruiz

N=2 supersymmetric Yang--Mills theories coupled to matter are considered in the Wess--Zumino gauge. The supersymmetries are realized nonlinearly and the anticommutator between two susy charges gives, in addition to translations, gauge…

High Energy Physics - Theory · Physics 2010-11-01 Nicola Maggiore

We propose a reformulation of Yang-Mills theory as a perturbative deformation of a novel topological (quantum) field theory. We prove that this reformulation of the four-dimensional QCD leads to quark confinement in the sense of area law of…

High Energy Physics - Theory · Physics 2016-08-25 Kei-Ichi Kondo

The Weyl$-$Yang gravitational gauge theory is investigated in the structure of a pure higher-dimensional non-Abelian Kaluza$-$Klein background. We construct the dimensionally reduced field equations and stress-energy-momentum tensors as…

High Energy Physics - Theory · Physics 2021-09-24 Halil Kuyrukcu

We present a family of nonrelativistic Yang-Mills gauge theories in D+1 dimensions whose free-field limit exhibits quantum critical behavior with gapless excitations and dynamical critical exponent z=2. The ground state wavefunction is…

High Energy Physics - Theory · Physics 2014-11-18 Petr Horava

Chern-Simons gauge theories in 3 dimensions and the Poisson Sigma Model (PSM) in 2 dimensions are examples of the same theory, if their field equations are interpreted as morphisms of Lie algebroids and their symmetries (on-shell) as…

Differential Geometry · Mathematics 2007-05-23 Martin Bojowald , Alexei Kotov , Thomas Strobl

We construct a four dimensional Yang-Mills theory with ${\cal N}=4$ twisted supersymmetry whose classical vacua correspond to four dimensional anti-de Sitter space. The theory utilizes a complex gauge field whose real part is a spin…

High Energy Physics - Theory · Physics 2009-01-07 Simon Catterall

We present a lagrangian formulation for recently-proposed supersymmetric Yang-Mills theory in twelve dimensions. The field content of our multiplet has an additional auxiliary vector field in the adjoint representation. The usual Yang-Mills…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino