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Related papers: Weyl double copy in bimetric massive gravity

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We consider a mimetic type extension of the Weyl geometric gravity theory, by assuming that the metric of the space-time manifold can be parameterized in terms of a scalar field, called the mimetic field. The action of the model is obtained…

General Relativity and Quantum Cosmology · Physics 2025-03-19 Daria-Ioana Visa , Tiberiu Harko , Shahab Shahidi

We consider a coupling of conformal gravity to the classically scale-invariant B-L extended standard model which has been recently proposed as a phenomenologically viable model realizing the Coleman-Weinberg mechanism of breakdown of the…

High Energy Physics - Phenomenology · Physics 2015-06-15 Ichiro Oda

Causal structure, inertial path structure and compatibility with quantum mechanics demand no full Lorentz metric, but only an integrable Weyl geometry for space time (Ehlers/Pirani/Schild 1972, Audretsch e.a. 1984). A proposal of (Tann…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Erhard Scholz

In this paper we derive a differential identity for linearized gravity on the Kerr spacetime and more generally on vacuum spacetimes of Petrov type D. We show that a linear combination of second derivatives of the linearized Weyl tensor can…

General Relativity and Quantum Cosmology · Physics 2019-02-26 Steffen Aksteiner , Lars Andersson , Thomas Bäckdahl

We show that the self-dual classical double copy can be straightforwardly extended to the higher-spin case when formulated in terms of light-cone gauge prepotentials. This allows us to construct a higher-spin extension for any self-dual…

High Energy Physics - Theory · Physics 2026-05-06 Nikita Misuna , Dmitry Ponomarev , Alexander Solomin

It is shown in the present paper that the transformation relating a parallel transported vector in a Weyl space to the original one is the product of a multiplicative gauge transformation and a proper orthochronous Lorentz transformation.…

General Physics · Physics 2015-03-09 Shiv R. Vatsya

We consider the massive relativistic particle models on fourdimensional Minkowski space extended by $N$ commuting Weyl spinors for N=1 and N=2. The N=1 model is invariant under the most general form of bosonic counterpart of simple D=4…

High Energy Physics - Theory · Physics 2011-07-19 S. Fedoruk , J. Lukierski

We study the theory of Weyl conformal gravity with matter degrees of freedom in a conformally invariant interaction. Specifically, we consider a triplet of scalar fields and SO(3) non-abelian gauge fields, i.e. the Georgi-Glashow model…

High Energy Physics - Theory · Physics 2009-08-07 A. Edery , Luca Fabbri , M. B. Paranjape

This paper explores the Kerr-Schild double copy, a duality relating gravity and electromagnetism. We show how Einstein's vacuum solutions in four dimensions can be converted into Maxwell's solutions via a double copy procedure, employing…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Wen-Xiang Chen , Yao-Guang Zheng

We present a simple, systematic and practical method to construct conformally invariant equations in arbitrary Riemann spaces. This method that we call "Weyl-to-Riemann" is based on two features of Weyl geometry. i) A Weyl space is defined…

High Energy Physics - Theory · Physics 2013-05-06 Sofiane Faci

We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the $\mathcal{N}=1$ supersymmetric model to a Yang-Mills background to describe the propagation of a…

High Energy Physics - Theory · Physics 2023-04-11 Francesco Comberiati , Canxin Shi

In this paper, we present a second realization of the Weyl double copy (WDC) in four-dimensional algebraic type D spacetime. We show that any type D vacuum solution admits an algebraically general Maxwell scalar on the curved background…

High Energy Physics - Theory · Physics 2025-03-05 Weicheng Zhao , Pu-Jian Mao , Jun-Bao Wu

We follow the classical Double Copy (DC) procedure that links Yang-Mills and Double Field Theory (DFT), and we apply it on a four-derivative gauge theory which is known to be related to Weyl gravity at the level of the amplitudes. We obtain…

High Energy Physics - Theory · Physics 2024-08-23 Eric Lescano , Jesús A. Rodríguez

We investigate the possibility that the observed behavior of test particles outside galaxies, which is usually explained by assuming the existence of dark matter, is the result of the dynamical evolution of particles in a Weyl type…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Piyabut Burikham , Tiberiu Harko , Kulapant Pimsamarn , Shahab Shahidi

We discuss the double copy formulation of Moyal-Weyl type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of $L_\infty$-algebras. We define new noncommutative scalar field theories with rigid colour…

High Energy Physics - Theory · Physics 2023-08-02 Richard J. Szabo , Guillaume Trojani

Higher-order curvature corrections involving the conformally-invariant Weyl-squared action have played a role in two recent investigations of four-dimensional gravity; in critical gravity, where it is added to the standard cosmological…

High Energy Physics - Theory · Physics 2012-10-02 H. Lu , Yi Pang , C. N. Pope

We present locally scale (Weyl) covariant generalisation of Minimal Massive Gravity theory using the language of exterior differential forms on Riemann-Cartan-Weyl space-times. The theory is expressed by a locally scale invariant action and…

General Relativity and Quantum Cosmology · Physics 2019-04-26 Tekin Dereli , Cem Yetişmişoğlu

There are three self-dual models of massive particles of helicity +2 (or -2) in $D=2+1$. Each model is of first, second, and third-order in derivatives. Here we derive a new self-dual model of fourth-order, $\cL {SD}^{(4)}$, which follows…

High Energy Physics - Theory · Physics 2009-10-16 D. Dalmazi , E. L. Mendonca

In this work we present a derivation of Dirac's equation in a curved space-time starting from a Weyl-invariant action principle in 4+K dimensions. The Weyl invariance of Dirac's equation (and of Quantum Mechanics in general) is made…

Quantum Physics · Physics 2021-03-10 Enrico Santamato , Francesco De Martini

We describe a method to generate scalar-tensor theories with Weyl symmetry, starting from arbitrary purely metric higher derivative gravity theories. The method consists in the definition of a conformally-invariant metric $\hat{g}_{\mu…

High Energy Physics - Theory · Physics 2023-12-12 Giorgos Anastasiou , Ignacio J. Araya , Avik Chakraborty
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