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It is an accepted fact that requiring the Lovelock theory to have the maximun possible number of degree of freedom, fixes the parameters in terms of the gravitational and the cosmological constants. In odd dimensions, the Lagrangian is a…

High Energy Physics - Theory · Physics 2013-09-03 P. K. Concha , D. M. Peñafiel , E. K. Rodríguez , P. Salgado

We consider some general consequences of adding pure gravitational Chern-Simons term to manifestly diff-covariant theories of gravity. Extending the result of a previous paper we enlarge the class of metrics for which the inclusion of a gCS…

High Energy Physics - Theory · Physics 2015-06-15 Loriano Bonora , Maro Cvitan , Predrag Dominis Prester , Silvio Pallua , Ivica Smolic

The gauge theory-formulation of string-motivated lineal gravity proposed by Cangemi and Jackiw is obtained by dimensional reduction from $(2+1)$ dimensional gravity with a Chern-Simons Lagrangian.

High Energy Physics - Theory · Physics 2008-07-08 C. Duval , Z. Horváth , P. A. Horváthy

In this work I consider extensions of Chern-Simons gravities and supergravities associated to the use of Transgression forms as actions, instead of Chern-Simons forms. It is noted that Transgression Forms yields a essencially unique…

High Energy Physics - Theory · Physics 2007-05-23 Pablo Mora

We provide Vasiliev's fully nonlinear equations of motion for bosonic gauge fields in four spacetime dimensions with an action principle. We first extend Vasiliev's original system with differential forms in degrees higher than one. We then…

High Energy Physics - Theory · Physics 2015-05-27 Nicolas Boulanger , Per Sundell

We construct the actions of a very broad family of 2d integrable $\sigma$-models. Our starting point is a universal 2d action obtained in [arXiv:2008.01829] using the framework of Costello and Yamazaki based on 4d Chern-Simons theory. This…

High Energy Physics - Theory · Physics 2021-06-11 Sylvain Lacroix , Benoit Vicedo

We develop the General Theory of Relativity in a formalism with extended causality that describes physical interaction through discrete, transversal and localized pointlike fields. The homogeneous field equations are then solved for a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Manoelito M. de Souza , Robson N. Silveira

We propose a model of quantum gravity in arbitrary dimensions defined in terms of the BV quantization of a supersymmetric, infinite dimensional matrix model. This gives an (AKSZ-type) Chern-Simons theory with gauge algebra the space of…

High Energy Physics - Theory · Physics 2014-10-27 R. Bonezzi , O. Corradini , A. Waldron

In this paper, we introduce a new method for constructing gauged $\sigma$-models from four-dimensional Chern-Simons (4d CS) gauge theory. We begin with a review of recent work by several authors on the classical generation of integrable…

High Energy Physics - Theory · Physics 2025-11-19 Jake Stedman

The purpose of this article is to study the correspondence between $3d$-gravity and the Chern-Simons field theory from the perspective of geometric mechanics, specifically in the case where the structure group is the general affine group.…

Mathematical Physics · Physics 2023-07-20 Santiago Capriotti

In this work the generation of generalized Chern-Simons terms in three dimensional quantum electrodynamics with high spatial derivatives is studied. We analyze the self-energy corrections to the gauge field propagator by considering an…

High Energy Physics - Theory · Physics 2013-10-03 Van Sérgio Alves , B. Charneski , M. Gomes , Leonardo Nascimento , Francisco Peña

It is shown that in all odd dimensional Chern-Simons theories states in which the torsion is non zero (but it can approach smoothly to zero outside suitable regions) do exist. Some possible observational effects related to neutrino…

General Relativity and Quantum Cosmology · Physics 2008-07-02 F. Canfora

A Lagrangian depending on geometric variables (metric, affine connection, gauge group generators) is given which maintains compatibility with General Relativity. It generates the dynamics for Electromagnetism and other Gauge Fields along…

General Physics · Physics 2010-08-17 Juan Andres Musante

We consider quantum field theories on supermanifolds using integral forms. The latter are used to define a geometric theory of integration and they are essential for a consistent action principle. The construction relies on Picture Changing…

High Energy Physics - Theory · Physics 2016-11-03 Pietro Antonio Grassi , Carlo Maccaferri

With two typical parent actions we have two kinds of dual worlds: i) one of which contains an electric as well as magnetic current, and ii) the other contains (generalized) Chern-Simons terms. All these fields are defined on a curved…

High Energy Physics - Theory · Physics 2009-11-07 Hisashi Echigoya , Tadashi Miyazaki , Tomohiko Shibuya

We investigate metric independent, gauge invariant and closed forms in the generalized YM theory. These forms are polynomial on the corresponding fields strength tensors - curvature forms and are analogous to the Pontryagin-Chern densities…

High Energy Physics - Theory · Physics 2015-06-18 Spyros Konitopoulos , George Savvidy

Vector fields with components which are generalized zero-forms are constructed. Inner products with generalized forms, Lie derivatives and Lie brackets are computed. The results are shown to generalize previously reported results for…

Mathematical Physics · Physics 2013-09-19 D. C. Robinson

We discuss the generalization of the NUT spacetime in General Relativity (GR) within the framework of the (dynamical) Einstein--Chern-Simons (ECS) theory with a massless scalar field. These configurations approach asymptotically the NUT…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Yves Brihaye , Eugen Radu

We try to lay down the foundations of a Newtonian theory where inertia and gravitational fields appear in a unified way aiming to reach a better understanding of the general relativistic theory. We also formulate a kind of equivalence…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Xavier Jaén , Alfred Molina

We consider a five-dimensional Einstein-Chern-Simons action which is composed of a gravitational sector and a sector of matter, where the gravitational sector is given by a Chern-Simons gravity action instead of the Einstein-Hilbert action,…

General Relativity and Quantum Cosmology · Physics 2021-05-28 Fernando Gómez , Samuel Lepe , Cristian Quinzacara , Patricio Salgado
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