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The double copy relates scattering amplitudes and classical solutions in non-abelian gauge theories and gravity. As such, it is usually expressed in the conventional second-order formalisms in both theories corresponding to standard…

High Energy Physics - Theory · Physics 2025-09-29 Nathan Moynihan , Michael L. Reichenberg Ashby , Chris D. White

Following the ideas of effective field theories, we derive classically effective field equations of recently developed Lorentz gauge theory of gravity. It is shown that Newton's gravitational constant emerges as an effective coupling…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Ahmad Borzou

The Hamiltonian analysis of the self-dual gauge gravity theory is carried out. The resulting canonical structure is equivalent to that of self-dual gravity.

General Relativity and Quantum Cosmology · Physics 2015-04-16 Steven Kerr

The Wess-Zumino-Witten (WZW) theory has a global symmetry denoted by $G_L\otimes G_R$. In the standard gauged WZW theory, vector gauge fields (\ie\ with vector gauge couplings) are in the adjoint representation of the subgroup $H \subset…

High Energy Physics - Theory · Physics 2010-01-08 Stephen-wei Chung , S. -H. Henry Tye

We show that Poincare-invariant topological gravity in even dimensions can be formulated as a transgression field theory in one higher dimension whose gauge connections are associated to linear and nonlinear realizations of the Poincare…

High Energy Physics - Theory · Physics 2014-10-21 Patricio Salgado , Richard J. Szabo , Omar Valdivia

Thomas-Whitehead (TW) gravity is a gauge theory of gravitation based on projective geometry. The theory maintains projective symmetry through the TW connection, an affine connection over the volume bundle of the spacetime manifold. TW…

General Relativity and Quantum Cosmology · Physics 2024-04-04 Samuel J. Brensinger , Patrick Vecera

This work is mainly devoted to constructing a multisymplectic description of Lovelock's gravity, which is an extension of General Relativity. We establish a Griffiths variational problem for the Lovelock Lagrangian, obtaining the geometric…

Mathematical Physics · Physics 2020-10-05 Santiago Capriotti , Jordi Gaset , Narciso Román-Roy , Leandro Salomone

We review the issue of gauge and gravitational anomalies with backgrounds, maybe offering a new outlook on some aspects of these questions. We compute the holographic anomalies of hypothetical theories dual, in the sense of the AdS-CFT…

High Energy Physics - Theory · Physics 2015-05-20 Pablo Mora

Working in the first order formalism of gravity, we propose an action that combines the self and anti-self-dual parts of the curvature and comprises all the diffeomorphism invariant Lagrangians that one can consider in this formalism. The…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Javier Chagoya , M. Sabido

Recently, a gauge theory of unified gravity [Rep. Prog. Phys. 88, 057802 (2025)] has been developed to extend the Standard Model to include gravity. Here we present unified gravity using the ordinary four-vector and tensor field notation of…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Mikko Partanen , Jukka Tulkki

The observation that SU(3)/SU(2) ~ S^5 implies the existence of a particularly simple quantized topological action, or Wess-Zumino-Witten (WZW) term. This action plays an important role in anomaly cancellation in extensions of the Standard…

High Energy Physics - Theory · Physics 2010-04-14 Richard J. Hill

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Thomas P. Sotiriou , Valerio Faraoni

We introduce a large class of scalar-tensor theories where gravity becomes stronger at large distances via the exchange of a scalar that mixes with the graviton. At small distances, i.e. large curvature, the scalar is screened via an analog…

High Energy Physics - Theory · Physics 2010-02-17 E. Babichev , C. Deffayet , R. Ziour

Inspired by the Maxwell symmetry generalization of general relativity (Maxwell gravity), we have constructed the Maxwell extension of $f(R)$ gravity. We found that the semi-simple extension of the Poincare symmetry allows us to introduce…

High Energy Physics - Theory · Physics 2023-02-01 Oktay Cebecioğlu , Ahmet Saban , Salih Kibaroğlu

We present a short introduction to the M{\o}ller gravity theory and study the Schwarzschild solution and self-consistent spontaneous compactification solutions in Kaluza-Klein theories, which can be obtained in the framework of this…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Edward Rakhmetov , Sergey Keyzerov

The goal of this short report is to summarise some key results based on our previous works on model independent tests of gravity at large scales in the Universe, their connection with the properties of gravitational waves, and the…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-11 Ippocratis D. Saltas , Luca Amendola , Martin Kunz , Ignacy Sawicki

We plan to translate the successful description of three-dimensional gravity as a gauge theory in the noncommutative framework, making use of the covariant coordinates. We consider two specific three-dimensional fuzzy spaces based on SU(2)…

General Relativity and Quantum Cosmology · Physics 2018-09-12 D. Jurman , G. Manolakos , P. Manousselis , G. Zoupanos

A new variational approach for general relativity and modified theories of gravity is presented. In addition to the metric tensor, two independent affine connections enter the action as dynamical variables. In the matter action the…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Nicola Tamanini

This review is dedicated to the amazing Kawai-Lewellen-Tye relations, connecting perturbative gravity and gauge theories at tree level. The main focus is on n-point derivations and general properties both from a string theory and pure field…

High Energy Physics - Theory · Physics 2011-06-02 Thomas Sondergaard

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical…

High Energy Physics - Theory · Physics 2015-06-12 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya