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The Weyl anomaly problem is treated within a purely geometrical context. Arguments are given that hint at a possible classical origin of the conformal anomaly in the Riemannian nature of the background geometry where the matter fields play…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros

We review (non-supersymmetric) gauge theories of four-dimensional space-time symmetries and their quadratic action. The only true gauge theory of such a symmetry (with a physical gauge boson) that has an exact geometric interpretation,…

High Energy Physics - Theory · Physics 2024-08-15 C. Condeescu , D. M. Ghilencea , A. Micu

We construct the classical double copy formalism for M-theory. This extends the current state of the art by including the three form potential of eleven dimensional supergravity along with the metric. The key for this extension is to…

High Energy Physics - Theory · Physics 2021-09-17 David S. Berman , Kwangeon Kim , Kanghoon Lee

Twistor space constructions and actions are given for full Yang-Mills and conformal gravity using almost complex structures that are not, in general, integrable. These are used as the basis of a derivation of the twistor-string generating…

High Energy Physics - Theory · Physics 2009-11-11 L. J. Mason

We study higher--derivative supergravity with curvature squared terms in different bases. Performing a Weyl rescaling only on the metric or on all the superfield components does not allow to obtain a normalized kinetic Einstein term from a…

High Energy Physics - Theory · Physics 2007-05-23 Regis Le Du

Weyl transverse gravity is a gravitational theory that is invariant under transverse diffeomorphisms and Weyl transformations. It is characterised by having the same classical solutions as general relativity while solving some of its issues…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Ana Alonso-Serrano , Luis J. Garay , Marek Liška

The usual interpretation of Weyl geometry is modified in two senses. First, both the additive Weyl connection and its variation are treated as (1, 2) tensors under the action of Weyl covariant derivative. Second, a modified covariant…

General Relativity and Quantum Cosmology · Physics 2013-09-18 Fang-Fang Yuan , Yong-Chang Huang

We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction…

High Energy Physics - Theory · Physics 2020-10-28 Tim Adamo , Anton Ilderton

In this paper we revisit the motivation and construction of a unified theory of gravity and electromagnetism, following Weyl's insights regarding the appealing potential connection between the gauge invariance of electromagnetism and the…

General Relativity and Quantum Cosmology · Physics 2018-02-13 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

Although tensor models are serious candidates for a theory of quantum gravity, a connection with classical spacetimes have been elusive so far. This paper aims to fill this gap by proposing a neat connection between tensor theory and…

High Energy Physics - Theory · Physics 2021-03-24 Pablo Diaz

We consider scalar-tensor theories of gravity defined in Weyl integrable space-time and show that in the ADM formalism Weyl transformations corresponding to change of frames induce canonical transformations between different representations…

General Relativity and Quantum Cosmology · Physics 2018-02-14 A. B. Barreto , M. L. Pucheu , C. Romero

First, we briefly review the description of gravity theories as gauge theories in three and four dimensions. Specifically, we recall the procedure in which the results of General Relativity in three and four dimensions are recovered in a…

High Energy Physics - Theory · Physics 2019-07-16 G. Manolakos , P. Manousselis , G. Zoupanos

The (free) graviton admits, in addition to the standard Pauli-Fierz description by means of a rank-two symmetric tensor, a description in which one dualizes the corresponding (2,2)-curvature tensor on one column to get a (D-2,2)-tensor,…

High Energy Physics - Theory · Physics 2020-01-08 Marc Henneaux , Victor Lekeu , Amaury Leonard

We calculate the conformal anomaly from 5d Weyl gravity (with broken conformal symmetry) which is conjectured to be supergravity dual to ${\cal N}=2$ superconformal field theory via AdS/CFT correspondence. Its comparison with ${\cal N}=2$…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

Although the introduction of generalised and extended geometry has been motivated mainly by the appearance of dualities upon reductions on tori, it has until now been unclear how (all) the duality transformations arise from first principles…

High Energy Physics - Theory · Physics 2015-06-22 Martin Cederwall

It is well-known that General Relativity (GR) in three spacetime dimensions (3D) has no well-defined Newtonian limit. Recently, a static solution mimicking the behaviour of the expected Newtonian potential has been found in arXiv:1904.11001…

High Energy Physics - Theory · Physics 2020-07-29 Mehmet Kemal Gumus , Gokhan Alkac

The Weyl geometric gravity theory, in which the gravitational action is constructed from the square of the Weyl curvature scalar and the strength of the Weyl vector, has been intensively investigated recently. The theory admits a…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Mohsen Khodadi , Tiberiu Harko

We construct the gravitational theory emerging from the double-copy of massive scalar quantum chromodynamics in general dimensions. The resulting two-form-dilaton-gravity theory couples to flavored massive scalars gravitationally and via…

High Energy Physics - Theory · Physics 2020-03-18 Jan Plefka , Canxin Shi , Tianheng Wang

In this paper we give an extensive description of Weyl quadratic gravity as the gauge theory of the Weyl group. The previously discovered (vectorial) torsion/non-metricity equivalence is shown to be built-in as it corresponds to a…

High Energy Physics - Theory · Physics 2025-02-25 Cezar Condeescu , Andrei Micu

We study Weyl conformal geometry as a general gauge theory of the Weyl group (of Poincar\'e and dilatations symmetries) in a manifestly Weyl gauge covariant formalism in which this geometry is automatically metric and physically relevant.…

High Energy Physics - Theory · Physics 2025-03-31 C. Condeescu , D. M. Ghilencea , A. Micu
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