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It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into…

High Energy Physics - Theory · Physics 2023-06-16 Tomasz Trześniewski

There has been increasing interest in investigating the possible parity violating features in the gravity theory and on the cosmological scales. In this work, we consider a class of scalar-nonmetricity theory, of which the Lagrangian is…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Zheng Chen , Yang Yu , Xian Gao

We show that the phase space of three-dimensional gravity contains two layers of dualities: between diffeomorphisms and a notion of "dual diffeomorphisms" on the one hand, and between first order curvature and torsion on the other hand.…

High Energy Physics - Theory · Physics 2021-03-01 Marc Geiller , Christophe Goeller , Nelson Merino

By dimensional reduction of the Lovelock Lagrangian, effective four-dimensional field equations and expressions for the cosmological and gravitational constants are obtained. A cosmological model is discussed with the n-torus as internal…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Theo Verwimp

We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including…

High Energy Physics - Theory · Physics 2016-10-12 Po-Shen Hsin , Nathan Seiberg

Beside diffeomorphism invariance also manifest SO(3,1) local Lorentz invariance is implemented in a formulation of Einstein Gravity (with or without cosmological term) in terms of initially completely independent vielbein and spin…

General Relativity and Quantum Cosmology · Physics 2011-09-13 W. Kummer , H. Schuetz

We consider topological contributions to the action integral in a gauge theory formulation of gravity. Two topological invariants are found and are shown to arise from the scalar and pseudoscalar parts of a single integral. Neither of these…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Antony Lewis , Chris Doran , Anthony Lasenby

We consider a new form of theories of gravity in which the action is written in terms of the Ricci scalar and its first and second derivatives. Despite the higher derivative nature of the action, the theory is free from ghost under an…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Atsushi Naruko , Daisuke Yoshida , Shinji Mukohyama

We introduce a new class of scalar-tensor theories that extend Horndeski, or "generalized galileon", models. Despite possessing equations of motion of higher order in derivatives, we show that the true propagating degrees of freedom obey…

High Energy Physics - Theory · Physics 2015-06-03 Jérôme Gleyzes , David Langlois , Federico Piazza , Filippo Vernizzi

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

We show that 4D gauge theories with Green-Schwarz anomaly cancellation and possible generalized Chern-Simons terms admit a formulation that is manifestly covariant with respect to electric/magnetic duality transformations. This generalizes…

High Energy Physics - Theory · Physics 2009-02-07 Jan De Rydt , Torsten T. Schmidt , Mario Trigiante , Antoine Van Proeyen , Marco Zagermann

Recently, possible hints of parity violation have been observed in the connected galaxy four-point correlation function. Although the true origin of the signal from the analysis has been debated, should they have a physical origin, they…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-22 Tommaso Moretti , Nicola Bartolo , Alessandro Greco

We investigate the effects of Chern-Simons-Gauss-Bonnet gravity on fundamental metrics. This theory involves perturbative corrections to general relativity, as well as two scalar fields, the axion and the dilaton, that arise from…

General Relativity and Quantum Cosmology · Physics 2025-02-10 Alexis Ortega , Tatsuya Daniel , Savvas M. Koushiappas

We have recently proposed a new class of gravitational scalar-tensor theories free from Ostrogradski instabilities, in arXiv:1404.6495. As they generalize Horndeski theories, or "generalized" galileons, we call them G$^3$. These theories…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Jérôme Gleyzes , David Langlois , Federico Piazza , Filippo Vernizzi

The construction of dual theories for linearized gravity in four dimensions is considered. Our approach is based on the parent Lagrangian method previously developed for the massive spin-two case, but now considered for the zero mass case.…

High Energy Physics - Theory · Physics 2009-11-10 H. Casini , R. Montemayor , Luis F. Urrutia

We consider a modification of the standard Einstein theory in four dimensions, alternative to R. Jackiw and S.-Y. Pi, Phys. Rev. D 68, 104012 (2003), since it is based on the first-order (Einstein-Cartan) approach to General Relativity,…

High Energy Physics - Theory · Physics 2008-11-26 Marcelo Botta Cantcheff

We study the dynamics of a modified-gravity theory, which is supplemented by an extended Gibbons-Hawking-York boundary term and incorporates diffeomorphism violation through nondynamical background fields denoted as $u$ and $s^{\mu\nu}$ in…

High Energy Physics - Theory · Physics 2022-09-07 Carlos M. Reyes , Marco Schreck

A fourth-order theory of gravity is considered which in terms of dynamics has the same degrees of freedom and number of constraints as those of scalar-tensor theories. In addition it admits a canonical point-like Lagrangian description. We…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Andronikos Paliathanasis

We introduce a gauge and diffeomorphism invariant theory on Yang-Mills phase space. The theory is well defined for an arbitrary gauge group with an invariant bilinear form, it contains only first class constraints, and the spacetime metric…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Subenoy Chakraborty , Peter Peldan

We consider Lorentz invariant scalar-tensor teleparallel gravity theories with a Lagrangian built from the torsion scalar, a scalar field, its kinetic term and a derivative coupling between the torsion and the scalar field. The field…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann , Christian Pfeifer
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