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The coupling of spin-3 gauge fields to three-dimensional Maxwell and $AdS$-Lorentz gravity theories is presented. After showing how the usual spin-3 extensions of the $AdS$ and the Poincar\'e algebras in three dimensions can be obtained as…

High Energy Physics - Theory · Physics 2018-07-19 Ricardo Caroca , Patrick Concha , Octavio Fierro , Evelyn Rodríguez , Patricio Salgado-Rebolledo

The purpose of this paper is to show that the so-called Maxwell superalgebra in four dimensions, which naturally involves the presence of a nilpotent fermionic generator, can be interpreted as a hidden superalgebra underlying N = 1, D=4…

High Energy Physics - Theory · Physics 2018-03-22 L. Ravera

We find instanton/cosmological solutions with biaxial Bianchi-IX symmetry, involving non-trivial spatial dependence of the $\bbbc P^{1}$- and $\bbbc P^{2}$-sigma-models coupled to gravity. Such manifolds arise in N=1, $d=4$ supergravity…

High Energy Physics - Theory · Physics 2009-11-10 M. M. Akbar , P. D. D'Eath

We present SuperMaxwell algebra: an N=1, D=4 algebra with two Majorana supercharges, obtained as the minimal enlargement of superPoincare containing the Maxwell algebra as a subalgebra. The new superalgebra describes the supersymmetries of…

High Energy Physics - Theory · Physics 2010-04-06 Sotirios Bonanos , Joaquim Gomis , Kiyoshi Kamimura , Jerzy Lukierski

The $S$-expansion framework is analyzed in the context of a freedom in closing the multiplication tables for the abelian semigroups. Including the possibility of the zero element in the resonant decomposition and associating the Lorentz…

High Energy Physics - Theory · Physics 2017-04-05 R. Durka

We construct new classes of cosmological solution to the five dimensional Einstein-Maxwell-dilaton theory, that are non-stationary and almost conformally regular everywhere. The base geometry for the solutions is the four-dimensional…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Bardia H. Fahim , Masoud Ghezelbash

We develop and apply a fully covariant 1+3 electromagnetic analogy for gravity. The free gravitational field is covariantly characterized by the Weyl gravito-electric and gravito-magnetic spatial tensor fields, whose dynamical equations are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roy Maartens , Bruce A. Bassett

We establish the precise correspondence between Type-IIA flux compactifications preserving an exact or spontaneously broken N=4 supersymmetry in four dimensions, and gaugings of their effective N=4 supergravities. We exhibit the explicit…

High Energy Physics - Theory · Physics 2009-11-03 Gianguido Dall'Agata , Giovanni Villadoro , Fabio Zwirner

In this paper we show that some 3-dimensional isometry algebras, specifically those of type I, II, III and V (according Bianchi's classification), can be obtained as expansions of the isometries in 2 dimensions. It is shown that in general…

Mathematical Physics · Physics 2016-11-29 Ricardo Caroca , Igor Kondrashuk , Nelson Merino , Felip Nadal

In the present work we find novel Newtonian gravity models in three spacetime dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular…

High Energy Physics - Theory · Physics 2020-11-05 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez , Gustavo Rubio

The geometry that is defined by the scalars in couplings of Einstein-Maxwell theories in N=2 supergravity in 4 dimensions is denoted as special Kaehler geometry. There are several equivalent definitions, the most elegant ones involve the…

Differential Geometry · Mathematics 2007-05-23 Antoine Van Proeyen

The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

High Energy Physics - Theory · Physics 2015-05-18 Szilard Farkas , Emil J. Martinec

We introduce an alternative way of closing Maxwell like algebras. We show, through a suitable change of basis, that resulting algebras are given by the direct sums of the AdS and the Maxwell algebras already known in the literature. Casting…

High Energy Physics - Theory · Physics 2016-06-23 P. K. Concha , R. Durka , N. Merino , E. K. Rodríguez

We show that topologically massive gravity can be obtained by the consistent Kaluza-Klein reduction from recently constructed seven-dimensional gravity with topological terms. The internal four-manifold should be Einstein with the…

High Energy Physics - Theory · Physics 2010-10-01 H. Lu , Zhao-Long Wang

Using a recently developed algorithm that chooses preferred coordinates and a preferred co-frame, we will determine the completely general Bianchi type I teleparallel geometry. In using this algorithm, any remaining gauge freedom is…

General Relativity and Quantum Cosmology · Physics 2024-02-28 A. A. Coley , R. J. van den Hoogen

Dimensional reduction in two dimensions of gravity in higher dimension, or more generally of d=3 gravity coupled to a sigma-model on a symmetric space, is known to possess an infinite number of symmetries. We show that such a bidimensional…

High Energy Physics - Theory · Physics 2009-11-10 Louis Paulot

We use the duality between color and kinematics to obtain scattering amplitudes in non-minimal conformal N=0,1,2,4 (super)gravity theories. Generic tree amplitudes can be constructed from a double copy between (super-)Yang-Mills theory and…

High Energy Physics - Theory · Physics 2017-07-11 Henrik Johansson , Josh Nohle

We present a consistent way of coupling three-dimensional Maxwell Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields. We first introduce the simplest hyper-Maxwell Chern-Simons gravity containing two massless spin-2…

High Energy Physics - Theory · Physics 2021-09-15 Ricardo Caroca , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

The four-dimensional Einstein-Gauss-Bonnet (4DEGB) gravity is proposed as a singular limit of the higher-dimensional EGB gravity with a rescaled coupling constant. Follow-up work indicates that the 4DEGB gravity may be equivalent to a…

General Relativity and Quantum Cosmology · Physics 2020-08-14 S. X. Tian , Zong-Hong Zhu

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta