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We consider a Yang-Mills type gauge theory of gravity based on the conformal group SO(4,2) coupled to a conformally invariant real scalar field. The goal is to generate fundamental dimensional constants via spontaneous breakdown of the…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Jack Gegenberg , Gabor Kunstatter

Yang Mills theory in 2+1 dimensions can be expressed as an array of coupled (1+1)-dimensional principal chiral sigma models. The $SU(N)\times SU(N)$ principal chiral sigma model in 1+1 dimensions is integrable, asymptotically free and has…

High Energy Physics - Theory · Physics 2014-10-01 Axel Cortés Cubero

We use the AdS/CFT correspondence to study N=4 supersymmetric SU(Nc) Yang-Mills theory, in the limits of large Nc and large 't Hooft coupling, coupled to a number Nf of massless hypermultiplet fields in the fundamental representation of the…

High Energy Physics - Theory · Physics 2009-02-10 Andy O'Bannon

Various gauge invariant but non-Yang-Mills dynamical models are discussed: Pr\'ecis of Chern-Simons theory in (2+1)-dimensions and reduction to (1+1)-dimensional B-F theories; gauge theories for (1+1)-dimensional gravity-matter…

High Energy Physics - Theory · Physics 2007-05-23 R. Jackiw

We obtain Yang-Mills $SU(2)\times G$ gauged supergravity in three dimensions from $SU(2)$ group manifold reduction of (1,0) six dimensional supergravity coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in the…

High Energy Physics - Theory · Physics 2012-07-30 Edi Gava , Parinya Karndumri , K. S. Narain

We construct two-dimensional N=(2,2) lattice super Yang-Mills theory, where the gauge and Higgs fields are all represented by U(N) compact variables, with keeping one exact supercharge along the line of the papers [1,2,3]. Interestingly,…

High Energy Physics - Lattice · Physics 2010-04-05 Fumihiko Sugino

A very simple field theory in noncommutative phase space X^{M},P^{M} in d+2 dimensions, with a gauge symmetry based on noncommutative u*(1,1), furnishes the foundation for the field theoretic formulation of Two-Time Physics. This leads to a…

High Energy Physics - Theory · Physics 2009-11-07 Itzhak Bars

Non-commutative differential geometry allows a scalar field to be regarded as a gauge connection, albeit on a discrete space. We explain how the underlying gauge principle corresponds to the independence of physics on the choice of vacuum…

High Energy Physics - Theory · Physics 2009-10-30 Edward Teo , Christopher Ting

An unusual four-dimensional generally covariant and supersymmetric SU(2) gauge theory is described. The theory has propagating degrees of freedom, and is invariant under a local (left-handed) chiral supersymmetry, which is half the…

High Energy Physics - Theory · Physics 2009-10-30 Viqar Husain

The Doplicher-Fredenhagen-Roberts (DFR) framework for noncommutative (NC) space-times is considered as an alternative approach to describe the physics of quantum gravity, for instance. In this formalism, the NC parameter, {\it i.e.}…

High Energy Physics - Theory · Physics 2015-06-02 Everton M. C. Abreu , M. J. Neves

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

Continuous dual symmetry in electrodynamics, Yang-Mills theory and gravitation is investigated. Dual invariant which leads to badly nonlinear motion equations is chosen as a Lagrangian of the pure classical dual nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2007-05-23 A. L. Koshkarov

We study dimensional reductions of noncommutative electrodynamics on flat space which lead to gauge theories of gravitation. For a general class of such reductions, we show that the noncommutative gauge fields naturally yield a Weitzenbock…

High Energy Physics - Theory · Physics 2009-11-07 Edwin Langmann , Richard J. Szabo

We give an explicit gauge invariant, off-shell and local double copy construction of gravity from Yang-Mills theory to quartic order. To this end we use the framework of homotopy algebras, and we identify a rich new algebraic structure…

High Energy Physics - Theory · Physics 2023-07-04 Roberto Bonezzi , Christoph Chiaffrino , Felipe Diaz-Jaramillo , Olaf Hohm

We study the non-commutative supersymmetric Yang-Mills theory at strong coupling using the AdS/CFT correspondence. The supergravity description and the UV/IR relation confirms the expectation that the non-commutativity affects the…

High Energy Physics - Theory · Physics 2009-10-31 Akikazu Hashimoto , N. Itzhaki

A system of gravity coupled to a 2-form gauge field, a dilaton and Yang-Mills fields in $2n$ dimensions arises from the (2,1) sigma model or string. The field equations imply that the curvature with torsion and Yang-Mills field strength are…

High Energy Physics - Theory · Physics 2009-10-30 M. Abou Zeid , C. M. Hull

Topological gravity (in the sense that it is metric-independent) in a $2n$-dimensional spacetime can be formulated as a gauge field theory for the AdS gauge group $SO(2,2n-1)$ by adding a multiplet of scalar fields. These scalars can break…

High Energy Physics - Theory · Physics 2023-08-11 Marija Dimitrijević Ćirić , Dušan Đorđević , Dragoljub Gočanin , Biljana Nikolić , Voja Radovanović

Commutative Yang-Mills theories in 1+1 dimensions exhibit an interesting interplay between geometrical properties and U(N) gauge structures: in the exact expression of a Wilson loop with $n$ windings a non trivial scaling intertwines $n$…

High Energy Physics - Theory · Physics 2009-11-07 A. Bassetto , G. Nardelli , A. Torrielli

We study correlation functions in (0+1)-dimensional maximally supersymmetric U(N) Yang-Mills theory, which was proposed by Banks et al. as a non-perturbative definition of 11-dimensional M-theory in the infinite-momentum frame. We perform…

High Energy Physics - Theory · Physics 2015-05-30 Masanori Hanada , Jun Nishimura , Yasuhiro Sekino , Tamiaki Yoneya

We study theories of the "General Relativity + Yang-Mills" type in 4d spacetime with cosmological constant, focusing on formulations where the basic variables are connections and curvatures (but no metric). We present a new Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2025-11-17 Julian Lang , Yasha Neiman