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We study the equivalence/duality between various non-commutative gauge models at the classical and quantum level. The duality is realised by a linear Seiberg-Witten-like map. The infinitesimal form of this map is analysed in more details.

High Energy Physics - Theory · Physics 2007-05-23 Elias Kiritsis , Corneliu Sochichiu

This article is a review of modern approaches to gravity that treat the gravitational interaction as a type of gauge theory. The purpose of the article is twofold. First, it is written in a colloquial style and is intended to be a…

General Relativity and Quantum Cosmology · Physics 2010-10-29 Andrew Randono

General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems. For a long time there have been indications that quantum gravity will…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald

Some exact static solutions for Einstein gravity in 2+1 dimensions coupled to abelian gauge field are discussed. Some of these solutions are three-dimensional analogs of the Schwarzschild black holes. The metrics in the regions inside and…

High Energy Physics - Theory · Physics 2009-10-22 Ian I. Kogan

Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. We find a double copy relation…

High Energy Physics - Theory · Physics 2015-06-11 Ryo Saotome , Ratindranath Akhoury

Einstein action of gravity is obtained from a gauge theory, if our spacetime was once in two folds with a double Lorentz symmetry. After the dual symmetry breaks spontaneously, Lorentz symmetry absorbs gauge symmetry, while the gauge field…

General Physics · Physics 2022-12-27 Kimihide Nishimura

We analyze 2+1-dimensional gravity in the framework of quantum gauge theory. We find that Einstein gravity has a trivial physical subspace which reflects the fact that the classical solution in empty space is flat. Therefore we study…

General Relativity and Quantum Cosmology · Physics 2010-08-10 D. R. Grigore , G. Scharf

Supergravities with gauged R-symmetry and Minkowski vacua allow for spontaneous supersymmetry breaking and, as such, provide a framework for building supergravity models of phenomenological relevance. In this letter we initiate the study of…

High Energy Physics - Theory · Physics 2018-05-02 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

We revisit the cutoff surface formulation of fluid-gravity duality in the context of the classical double copy. The spacetimes in this fluid-gravity duality are algebraically special, with Petrov type II when the spacetime is four…

High Energy Physics - Theory · Physics 2020-06-01 Cynthia Keeler , Tucker Manton , Nikhil Monga

Similarity in the structure of scattering amplitudes in Yang-Mills theories and General Relativity led to the idea that graviton could be described as the double copy of a vector gauge field. In this letter we discuss a realization of this…

High Energy Physics - Theory · Physics 2022-06-08 Euro Spallucci , Anais Smailagic

The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories - computed by employing a regulated Mellin transform - can be compared at low…

High Energy Physics - Theory · Physics 2021-04-27 Nikhil Kalyanapuram

The problem of consistent formulation of the correspondence principle in quantum gravity is considered. The usual approach based on the use of the two-particle scattering amplitudes is shown to be in disagreement with the classical result…

High Energy Physics - Theory · Physics 2014-11-18 Kirill A. Kazakov

In this paper, we revisit the no black hole theorem in three dimensional (3D) gravity in the Newman-Penrose formalism in a generalized Newman-Unti gauge. After adapting the well established 4D NP formalism and its gauge and coordinates…

General Relativity and Quantum Cosmology · Physics 2024-06-19 Pujian Mao , Weicheng Zhao

We show that scattering amplitudes on any gauge theory background admitting a coherent state description double copy to amplitudes in a curved spacetime. The metric of the spacetime is built from the gauge background using a notion of…

High Energy Physics - Theory · Physics 2025-10-02 Anton Ilderton , William Lindved

Modified theories of gravity are often built such that they contain general relativity as a limiting case. This inclusion property implies that the Kerr metric is common to many families of theories. For example, all analytic $f(R)$…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Arthur G Suvorov

The double copy procedure relates gauge and gravity theories through color-kinematics replacements and holds for both scattering amplitudes and in classical contexts. Moreover, it has been shown that there is a web of theories whose…

High Energy Physics - Theory · Physics 2018-12-05 Mariana Carrillo-Gonzalez , Riccardo Penco , Mark Trodden

We consider cosmological and black hole solutions in the Einstein and higher-derivative gravity in two dimensions where the theory is formulated first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous singular…

High Energy Physics - Theory · Physics 2020-08-26 Shin'ichi Nojiri , Sergei D. Odintsov

It is well-known that the Einstein-Rosen solutions to the 3+1 dimensional vacuum Einstein's equations are in one to one correspondence with solutions of 2+1 dimensional general relativity coupled to axi-symmetric, zero rest mass scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Ashtekar , M. Pierri

Classical W-gravities and the corresponding quantum theories are reviewed. W-gravities are higher-spin gauge theories in two dimensions whose gauge algebras are W-algebras. The geometrical structure of classical W-gravity is investigated,…

High Energy Physics - Theory · Physics 2008-02-03 C. M. Hull

The double copy relates scattering amplitudes and classical solutions in Yang-Mills theory, gravity, and related field theories. Previous work has shown that this has an explicit realisation in self-dual YM theory, where the equation of…

High Energy Physics - Theory · Physics 2021-05-05 Erick Chacón , Hugo García-Compeán , Andres Luna , Ricardo Monteiro , Chris D. White