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Related papers: Gravity model from (A)dS Yang-Mills theory

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The gauge formalism in \textit{telepalallel gravity} provides an interesting viewpoint to describe interactions according to an anholonomic observer's tetrad basis. Without going into assessing the complete viability of quantization in an…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Robert Monjo , Álvaro Rodríguez-Abella , Rutwig Campoamor-Stursberg

We establish a nonminimal Einstein-Yang-Mills-Higgs model, which contains six coupling parameters. First three parameters relate to the nonminimal coupling of non-Abelian gauge field and gravity field, two parameters describe the so-called…

General Relativity and Quantum Cosmology · Physics 2008-11-07 A. B. Balakin , H. Dehnen , A. E. Zayats

We study pure Yang--Mills theory on $\Sigma\times S^2$, where $\Sigma$ is a compact Riemann surface, and invariance is assumed under rotations of $S^2$. It is well known that the self-duality equations in this set-up reduce to vortex…

High Energy Physics - Theory · Physics 2011-05-02 Nicholas S. Manton , Norman A. Rink

Let A be the space of irreducible connections (vector potentials) over a SU(n)-principal bundle on a three-dimensional manifold M. Let T be the fiber product of the tangent and cotangent bundles of A. We endow T with a symplectic structure…

Symplectic Geometry · Mathematics 2018-03-20 Tosiaki Kori

The scalar-tensor theories of gravity in spacetime dimensions $D+1>2$ are studied. By doing Hamiltonian analysis, we obtain the geometrical dynamics of the theories from their Lagrangian. The Hamiltonian formalism indicates that the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Yu Han , Yongge Ma , Xiangdong Zhang

We revisit the problem of building consistent interactions for a multiplet of partially massless spin-2 fields in (anti-)de Sitter space. After rederiving and strengthening the existing no-go result on the impossibility of Yang-Mills type…

High Energy Physics - Theory · Physics 2020-02-26 Nicolas Boulanger , Cédric Deffayet , Sebastian Garcia-Saenz , Lucas Traina

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

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the bi-adjoint representation, we derive in linearised approximation the gravitational symmetries of general covariance,…

High Energy Physics - Theory · Physics 2014-12-10 A. Anastasiou , L. Borsten , M. J. Duff , L. J. Hughes , S. Nagy

We deform two-dimensional topological gravity by making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that reduce to standard diffeomorphisms once…

High Energy Physics - Theory · Physics 2009-11-07 S. Cacciatori , A. H. Chamseddine , D. Klemm , L. Martucci , W. A. Sabra , D. Zanon

Ordinary-derivative (second-derivative) Lagrangian formulation of classical conformal Yang-Mills field in the (A)dS space of six, eight, and ten dimensions is developed. For such conformal field, we develop two gauge invariant Lagrangian…

High Energy Physics - Theory · Physics 2024-10-04 R. R. Metsaev

String-inspired 1+1-dimensional gravity is coupled to Yang-Mills fields in the Cangemi-Jackiw gauge-theoretical formulation, based on the extended Poincar\'e group. A family of couplings, which involves metrics obtainable from the physical…

High Energy Physics - Theory · Physics 2011-09-09 G. Amelino-Camelia , D. Bak , D. Seminara

We describe a ten dimensional supergravity geometry which is dual to a gauge theory that is non-supersymmetric Yang Mills in the infra-red but reverts to $N$=4 super Yang Mills in the ultra-violet. A brane probe of the geometry shows that…

High Energy Physics - Theory · Physics 2017-08-23 David E. Crooks , Nick Evans

We prove the renormalizability of various theories of classical gravity coupled with interacting quantum fields. The models contain vertices with dimensionality greater than four, a finite number of matter operators and a finite or reduced…

High Energy Physics - Theory · Physics 2008-11-26 Damiano Anselmi , Milenko Halat

We explore generalized symmetry in the context of nonlinear dynamical gravity. Our basic strategy is to transcribe known results from Yang-Mills theory directly to gravity via the tetrad formalism, which recasts general relativity as a…

High Energy Physics - Theory · Physics 2024-03-05 Clifford Cheung , Maria Derda , Joon-Hwi Kim , Vinicius Nevoa , Ira Rothstein , Nabha Shah

AdS/CFT-correspondence establishes a relationship between supersymmetric gravity (SUGRA) on Anti-de-Sitter (AdS) space and supersymmetric Yang-Mills (SYM) theory which is conformaly invariant (CFT). The AdS space is the solution of the…

High Energy Physics - Theory · Physics 2007-05-23 E. T. Akhmedov

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

In this paper we consider gauge theories that are relativistic and scale-invariant, and we construct their deformed versions via suitable star products. In particular, the non-commutative structure is controlled by Drinfel'd twists that are…

High Energy Physics - Theory · Physics 2025-12-05 Riccardo Borsato , Tim Meier

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

Among the general class of metric-affine theories of gravity, there is a special class conformed by those endowed with a projective symmetry. Perhaps the simplest manner to realise this symmetry is by constructing the action in terms of the…

General Relativity and Quantum Cosmology · Physics 2021-04-23 Jose Beltrán Jiménez , Daniel de Andrés , Adrià Delhom

Yang-Mills gravity with translational gauge group T(4) in flat space-time implies a simple self-coupling of gravitons and a truly conserved energy-momentum tensor. Its consistency with experiments crucially depends on an interesting…

General Relativity and Quantum Cosmology · Physics 2011-04-20 Jong-Ping Hsu