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We study higher-order theories of gravitation; in particular, we will focus our attention on the second-order theory, in which conformal symmetry can be implemented.

High Energy Physics - Theory · Physics 2011-04-27 Luca Fabbri

Non-abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher dimensional (2-dimensional in the present context) connection forms, and as such, it has been successfully applied to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. B. Mann , Eugeniu M. Popescu

In general terms duality consists of two descriptions of one physical system by using degrees of freedom of different nature. There are different kinds of dualities and they have been extremely useful to uncover the underlying strong…

High Energy Physics - Theory · Physics 2018-09-28 Hugo Garcia-Compean , Octavio Obregon , Cupatitzio Ramirez

In the model of de Sitter gauge theory of gravity, the empty homogenous and isotropic spacetimes with constant curvature scalar and nonvanishing homogenous and isotropic torsion must have de Sitter metrics. The static de Sitter spacetime…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Chao-Guang Huang , Meng-Sen Ma

We exploit an interpretation of gravity as the symmetry broken phase of a de Sitter gauge theory to construct new solutions to the first order field equations. The new solutions are constructed by performing large $Spin(4,1)$ gauge…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Andrew Randono

The infinite group of deformed diffeomorphisms of the spacetime continuum is put into the basis of the gauge theory of gravity. This gives rise to some new ways for unification of gravity with other gauge interactions.

General Relativity and Quantum Cosmology · Physics 2018-03-07 S. E. Samokhvalov , V. S. Vanyashin

Respecting the group theoretical approach, it is debated that the theory of linear conformal gravity should be formulated through a tensor field of rank-3 and mixed symmetry \cite{binegar}. Pursuing this path, such a field equation was…

General Relativity and Quantum Cosmology · Physics 2015-06-22 S. Rahbardehghan , H. Pejhan , M. Elmizadeh

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

The neat formulation that describes the gauge interactions associated with internal symmetries is extended to the case of a simple, yet non-trivial, symmetry group structure which mixes gravity and electromagnetism by associating a gauge…

Mathematical Physics · Physics 2009-11-11 V. Aldaya , E. Sánchez-Sastre

Gravity theory based on current algebra is formulated. The gauge principle rather than the general covariance combined with the equivalence principle plays the pivotal role in the formalism, and the latter principles are derived as a…

High Energy Physics - Theory · Physics 2020-04-07 Shotaro Shiba Funai , Hirotaka Sugawara

The double copy is a remarkable relationship between gauge theory and gravity that has been explored in a number of contexts, most notably scattering amplitudes and classical solutions. The convolutional double copy provides a…

High Energy Physics - Theory · Physics 2023-11-27 Qiuyue Liang , Silvia Nagy

In this work, which is a follow-up of arXiv:2102.06512, we document new cosmological solutions from four-dimensional $N=4$ matter-coupled supergravity. The solutions smoothly interpolate between a $dS_2\times S^2$ spacetime at $t\rightarrow…

High Energy Physics - Theory · Physics 2025-07-03 H. L. Dao

We add some comments to our old paper \cite{F-U} where the metric tensor was introduced as the gauge theory of general coordinate transformation. This formulation is more satisfactorily completed than the original one if it is required to…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Takeshi Fukuyama

The gauge gravitation theory in the Riemann-Cartan space-time is investigated in order to solve the fundamental problems of the general relativity theory. The constraints for indefinite parameters of the theory under which solutions of…

General Relativity and Quantum Cosmology · Physics 2026-01-22 A. V. Minkevich

We discuss the possibility of having gravity ``localized'' in dimension d in a system where gauge bosons propagate in dimension d+1. In such a circumstance - depending on the rate of falloff of the field strengths in d dimensions - one…

High Energy Physics - Theory · Physics 2009-10-31 Nemanja Kaloper , Eva Silverstein , Leonard Susskind

Homogeneous isotropic models built in the framework of the Poincar\'e gauge theory of gravity (PGTG) based on general expression of gravitational Lagrangian without cosmological constant are analyzed. It is shown that the physical spacetime…

General Relativity and Quantum Cosmology · Physics 2015-05-18 A. V. Minkevich

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the…

High Energy Physics - Theory · Physics 2009-10-22 T. T. Burwick , A. H. Chamseddine

This thesis analyses gauged supergravities in various dimensions and their possible origin from compactifications of string theory. In the effective description the fluxes appear in the theory as deformation parameters generating a…

High Energy Physics - Theory · Physics 2012-10-09 Giuseppe Dibitetto

The theory described by the sum of the Einstein-Hilbert action and the action of conformal scalar field possesses the duality symmetry which includes some special conformal transformation of the metric, and also inversion of scalar field…

High Energy Physics - Theory · Physics 2009-10-30 I. L. Shapiro