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We investigate the effects of (Curvature)$^{2}$- and (Torsion)$^{2}$- terms in the Einstein-Hilbert-Chern-Simons Lagrangian. The purposes are two-fold: (i) to show the efficacy of an orthogonal basis of degree-of-freedom projection…

High Energy Physics - Theory · Physics 2014-11-21 J. A. Helayël-Neto , C. A. Hernaski , B. Pereira-Dias , A. A. Vargas-Paredes , V. J. Vasquez-Otoya

Recent criticism of higher-dimensional extensions of Einstein's theory is considered. This may have some justification as regards string theory, but is misguided as applied to five-dimensional theories with a large extra dimension. Such…

General Relativity and Quantum Cosmology · Physics 2014-12-22 Paul S. Wesson

In this paper, we present the most general non-relativistic Chern-Simons gravity model in three spacetime dimensions. We first study the non-relativistic limit of the Mielke-Baekler gravity through a contraction process. The resulting…

High Energy Physics - Theory · Physics 2023-09-04 Patrick Concha , Nelson Merino , Evelyn Rodríguez

In this paper we study the consistency of generalized global symmetries in theories of quantum gravity, in particular string theory. Such global symmetries arise in theories with $(p+1)$-form gauge fields, and for spacetime dimension $d\leq…

High Energy Physics - Theory · Physics 2017-09-13 Miguel Montero , Angel M. Uranga , Irene Valenzuela

This thesis is devoted to various aspects of electric-magnetic duality and its gravitational generalization, with an emphasis on the case of maximal supergravity. It is divided into three parts. In the first part, we review the the…

High Energy Physics - Theory · Physics 2018-07-04 Victor Lekeu

This paper analyses the Noether symmetries and the corresponding conservation laws for Chern-Simons Lagrangians in dimension $d=3$. In particular, we find an expression for the superpotential of Chern-Simons gravity. As a by-product the…

High Energy Physics - Theory · Physics 2008-11-26 A. Borowiec , M. Ferraris , M. Francaviglia

We present a pedagogical discussion of the emergence of gauged supergravities from M-theory. First, a review of maximal supergravity and its global symmetries and supersymmetric solutions is given. Next, different procedures of dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Diederik Roest

We study a gravity model in 2+1 dimensions, arising from a generalized Chern-Simons (CS) density we call a Higgs-Chern-Simons (HCS) density. This generalizes the construction of gravitational systems resulting from non-Abelian CS densities…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Eugen Radu , D. H. Tchrakian

Some time ago, the standard geometric framework of Einstein gravity was extended by gauging the Maxwell algebra as well as the so called AdS-Maxwell algebra. In this letter it is shown that the actions for these four-dimensional extended…

High Energy Physics - Theory · Physics 2024-03-27 L. Avilés , J. Diaz , D. M. Penafiel , V. C. Orozco , P. Salgado

We develop a semiclassical theory of modified gravity with nontrivial spacetime torsion. In particular, we show that the semiclassical treatment can be axiomatized in the case of Einstein--Cartan theory with a nonminimally coupled, free…

General Relativity and Quantum Cosmology · Physics 2026-02-26 R. Morales-Cabrera , Y. Bonder

An alternative to usual dimensional reduction for gravity is analyzed, in the vielbein-spin connection formulation. Usual 4d Einstein gravity plus a topological term (the "Born-Infeld" Lagrangian for gravity), is shown to be obtained by a…

High Energy Physics - Theory · Physics 2007-05-23 Horatiu Nastase

The two lineal gravities --- based on the de Sitter group or a central extension of the Poincar\'e group in 1+1 dimensions --- are shown to derive classically from a unique topological gauge theory. This one is obtained after a dimensional…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Daniel Cangemi

In this work we study a non-relativistic three dimensional Chern-Simons gravity theory based on an enlargement of the Extended Bargmann algebra. A finite non-relativistic Chern-Simons gravity action is obtained through the non-relativistic…

High Energy Physics - Theory · Physics 2019-07-19 Patrick Concha , Evelyn Rodríguez

We consider a non-relativistic (NR) limit of $(2+1)$-dimensional Maxwell Chern-Simons (CS) gravity with gauge algebra [Maxwell] $\oplus \ u(1)\oplus u(1)$. We obtain a finite NR CS gravity with a degenerate invariant bilinear form. We find…

High Energy Physics - Theory · Physics 2018-06-13 Luis Avilés , Ernesto Frodden , Joaquim Gomis , Diego Hidalgo , Jorge Zanelli

We consider inclusion of interactions between 3d Einstein gravity and the third order extensions of Chern-Simons. Once the gravity is minimally included into the third order vector field equations, the theory is shown to admit a…

High Energy Physics - Theory · Physics 2018-09-26 D. S. Kaparulin , I. Yu. Karataeva , S. L. Lyakhovich

The most general gravity Lagrangian in four dimensions contains three topological densities, namely Nieh-Yan, Pontryagin and Euler, in addition to the Hilbert-Palatini term. We set up a Hamiltonian formulation based on this Lagrangian. The…

General Relativity and Quantum Cosmology · Physics 2012-06-01 Sandipan Sengupta

The Lanczos-Lovelock models of gravity constitute the most general theories of gravity in D dimensions which satisfy (a) the principle of of equivalence, (b) the principle of general co-variance, and (c) have field equations involving…

General Relativity and Quantum Cosmology · Physics 2011-05-09 Alexandre Yale , T. Padmanabhan

In this paper, we generalise the treatment of isolated horizons in loop quantum gravity, resulting in a Chern-Simons theory on the boundary in the four-dimensional case, to non-distorted isolated horizons in 2(n+1)-dimensional spacetimes.…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Norbert Bodendorfer , Thomas Thiemann , Andreas Thurn

By studying the previously known holographic N=4 supersymmetric renormalization group flow(Gowdigere-Warner) in four dimensions, we find the mass deformed Chern-Simons matter theory which has N=4 supersymmetry by adding the four mass terms…

High Energy Physics - Theory · Physics 2014-11-18 Changhyun Ahn , Kyungsung Woo

We explore the possibility of finding Pure Lovelock gravity as a particular limit of a Chern-Simons action for a specific expansion of the AdS algebra in odd dimensions. We derive this relation at the level of the action in five and seven…

High Energy Physics - Theory · Physics 2016-08-01 P. K. Concha , R. Durka , C. Inostroza , N. Merino , E. K. Rodríguez