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We obtain D=4 de Sitter gravity coupled to SU(2) Yang-Mills gauge fields from an explicit and consistent truncation of D=11 supergravity via Kaluza-Klein dimensional reduction on a non-compact space. The ``internal'' space is a smooth…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , J. F. Vazquez-Poritz

Integration of Kirillov form on a coadjoint orbit of Virasoro algebra yields the coupling of a background field to Polyakov's two dimensional quantum gravity. This background field is used to be called the diffeomorphism field. Einstein's…

Mathematical Physics · Physics 2019-07-17 Delalcan Kilic

The search for a quantum theory of gravity has become one of the most well-known problems in theoretical physics. Problems quantizing general relativity because it is not renormalizable have led to a search for a new theory of gravity that,…

Mathematical Physics · Physics 2013-12-06 Timothy D. Andersen

We describe gauge theories which allow to retrieve a large class of gravitational theories, including, MacDowell-Mansouri gravity and its topological extension to Loop Quantum Gravity via the Pontrjagin characteristic class involving the…

General Relativity and Quantum Cosmology · Physics 2026-01-07 J. Thibaut , S. Lazzarini

We study regular, static, spherically symmetric solutions of Yang-Mills theories employing higher order invariants of the field strength coupled to gravity in $d$ dimensions. We consider models with only two such invariants characterised by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Breitenlohner , Dieter Maison , D. H. Tchrakian

The analysis of the validity of Birkhoff's theorem about the uniqueness of the spherically symmetric solution of the gravitational field equations is extended to the framework of the Poincar\'e gauge gravity theory. The class of models with…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Yuri N. Obukhov

Pure gravity and gauge theories in two dimensions are shown to be special cases of a much more general class of field theories each of which is characterized by a Poisson structure on a finite dimensional target space. A general scheme for…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. Schaller , T. Strobl

We investigate the relationship between a one-parameter family of (anti-)de Sitter Yang-Mills models and a model of Einstein-Palatini gravity with matter, realized through In\"o\"nu-Wigner contraction of the (A)dS algebra. By setting the…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Goffredo Chirco , Alfonso Lamberti , Lucio Vacchiano , Patrizia Vitale

We propose a new approach to the quasitopological theory of gravity based on a modified classical double--copy construction. Focusing on static, spherically symmetric configurations, we show that all vacuum solutions of $D$--dimensional…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Valeri P. Frolov

A classical two dimensional theory of gravity which has a number of interesting features (including a Newtonian limit, black holes and gravitational collapse) is quantized using conformal field theoretic techniques. The critical dimension…

High Energy Physics - Theory · Physics 2009-10-22 R. B. Mann

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

High Energy Physics - Theory · Physics 2022-09-13 Dan-Radu Grigore

We find that Euclidian or Minkowski gravity in d dimensions can be formally expressed as the restriction to a slice of a supersymmetric Yang-Mills theory in d+1 dimensions with SO(d+1), SO(d,1) or SO(d-1,2) internal symmetry. We suggest…

High Energy Physics - Theory · Physics 2007-05-23 Laurent Baulieu

First a review is given of Riemann-Cartan space-time and Einstein-Cartan gravity. This gives us the necessary tools to handle the SO(2,3) Yang-Mills gauge theory for gravity. Field equations are obtained from a Yang-Mills gauge field…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Theo Verwimp

A Gaussian approximation to the bosonic part of M-(atrix) theory with mass deformation is considered at large values of the dimension $d$. From the perspective of the gauge/gravity duality this action reproduces with great accuracy the…

High Energy Physics - Theory · Physics 2022-01-05 Badis Ydri

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

General Relativity and Quantum Cosmology · Physics 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

A Yang-Mills type gauge theory of gravity is shown to have a structure richer than that of Einstein's General Theory of Relativity. By elevating the full connections to independent dynamical gauge fields, the theory admits non-trivial…

General Physics · Physics 2026-04-01 Yi Yang , Wai Bong Yeung

The equivalence between Chern-Simons and Einstein-Hilbert actions in three dimensions established by A.~Ach\'ucarro and P.~K.~Townsend (1986) and E.~Witten (1988) is generalized to the off-shell case. The technique is also generalized to…

High Energy Physics - Theory · Physics 2020-01-15 Thiago S. Assimos , Rodrigo F. Sobreiro

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 consider vortex-type solutions in $d=5$ dimensions of the Einstein gravity coupled to a nonabelian SU(2) field posessing a nonzero electric part. After the dimensional reduction, this corresponds to a $d=4$…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Eugen Radu

We present an integral formulation of classical Yang-Mills theory coupled to fermionic and scalar matter fields in (1+1)-dimensional Minkowski spacetime. By reformulating the local dynamics in terms of loop-space holonomies, we demonstrate…

High Energy Physics - Theory · Physics 2026-04-15 L. A. Ferreira , G. Luchini , H. Malavazzi