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The free (4,0) superconformal theory in 6 dimensions and its toroidal dimensional reductions are studied. The reduction to four dimensions on a 2-torus has an $SL(2,\Z)$ duality symmetry that acts non-trivially on the linearised gravity…

High Energy Physics - Theory · Physics 2010-02-03 C. M. Hull

Starting from a topological gauge theory in two dimensions with symmetry groups $ISO(2,1)$, $SO(2,1)$ and $SO(1,2)$ we construct a model for gravity with non-trivial coupling to matter. We discuss the equations of motion which are connected…

High Energy Physics - Theory · Physics 2009-10-22 L. F. Cugliandolo , F. A. Schaposnik , H. Vucetich

A general affine connection has enough degrees of freedom to describe the classical gravitational and electromagnetic fields in the metric-affine formulation of gravity. The gravitational field is represented in the Lagrangian by the…

General Relativity and Quantum Cosmology · Physics 2008-03-03 Nikodem J. Poplawski

The main purpose of this contribution is to determine physical and geometrical characterizations of whole classes of stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2013-07-26 Alberto A. Garcia-Diaz

We study gravity duals to a broad class of N=2 supersymmetric gauge theories defined on a general class of three-manifold geometries. The gravity backgrounds are based on Euclidean self-dual solutions to four-dimensional gauged…

High Energy Physics - Theory · Physics 2016-10-26 Daniel Farquet , Jakob Lorenzen , Dario Martelli , James Sparks

Strong-weak duality invariance can only be defined for particular sectors of supersymmetric Yang-Mills theories. Nevertheless, for full non-Abelian non-supersymmetric theories, dual theories with inverted couplings, have been found. We show…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , O. Obregon , C. Ramirez

We consider the large-$D$ limit of Einstein gravity. It is observed that a consistent leading large-$D$ graph limit exists, and that it is built up by a subclass of planar diagrams. The graphs in the effective field theory extension of…

High Energy Physics - Theory · Physics 2010-04-05 N. E. J. Bjerrum-Bohr

We build an infinite class of exact axisymmetric solutions of a metric-affine gravity theory, namely, Eddington-inspired Born-Infeld gravity, coupled to an anisotropic fluid as a matter source. The solution-generating method employed is not…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Victor I. Afonso , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying…

High Energy Physics - Theory · Physics 2015-02-23 Gerardo Aldazabal , Mariana Graña , Diego Marqués , José A. Rosabal

We show that the space of solutions of a wide family of Ricci-based metric-affine theories of gravity can be put into correspondence with the space of solutions of general relativity (GR). This allows us to use well-established methods and…

General Relativity and Quantum Cosmology · Physics 2018-03-14 V. I. Afonso , Gonzalo J. Olmo , D. Rubiera-Garcia

Spacetimes generated by a lightlike particle source for topologically massive gravity and its limits - Einstein gravity and the pure gravitational Chern-Simons model - are obtained both by solving the field equations and by infinite boosts…

High Energy Physics - Theory · Physics 2010-04-06 S. Deser , A. Steif

As a group-theoretic foundation of gravity, it is considered an affine-Goldstone nonlinear model based upon the nonlinear realization of the global affine symmetry spontaneously broken at the Planck scale to the Poincare symmetry. It is…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Yury F. Pirogov

Two-field mimetic gravity was recently realized by looking at the singular limit of the conformal transformation between the auxiliary metric and the physical metric with two scalar fields involved. In this paper, we reanalyze the singular…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Yunlong Zheng , Haomin Rao

In the low-energy limit, M-theory compactified on S1/Z2 is formulated in terms of Bianchi identities with sources localized at orbifold singularities and anomaly-cancelling counterterms to the Wilson effective Lagrangian. Compactifying to…

High Energy Physics - Theory · Physics 2010-11-19 J. -P. Derendinger , R. Sauser

In continuing our series on metric-affine gravity (see Gronwald IJMP D6 (1997) 263 for Part I), we review the exact solutions in this theory.

General Relativity and Quantum Cosmology · Physics 2009-10-31 Friedrich W. Hehl , Alfredo Macias

We construct Exceptional Field Theory for the group $SO(5,5)$ based on the extended (6+16)-dimensional spacetime, which after reduction gives the maximal $D=6$ supergravity. We present both a true action and a duality-invariant…

High Energy Physics - Theory · Physics 2015-06-24 Aidar Abzalov , Ilya Bakhmatov , Edvard T. Musaev

We present the topological solutions of Einstein gravity in the presence of a non-Abelian Yang-Mills field. In ($n+1$) dimensions, we consider the $So(n(n-1)/2-1,1)$ semisimple group as the Yang-Mills gauge group, and introduce the black…

General Relativity and Quantum Cosmology · Physics 2014-11-20 N. Bostani , M. H. Dehghani

We study (non-abelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, parallel to the known one for Lie algebras. An analogy to the setting of covariant exterior derivatives, curvature, and…

Quantum Algebra · Mathematics 2007-05-23 Dmitri Alekseevsky , Peter W. Michor , Wolfgang Ruppert

In this thesis we take Einstein theory in dimension four seriously, and explore the special aspects of gravity in this number of dimension. Among the many surprising features in dimension four, one of them is the possibility of `Chiral…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Yannick Herfray

We construct the general form of matter coupled N=4 gauged supergravity in five dimensions. Depending on the structure of the gauge group, these theories are found to involve vector and/or tensor multiplets. When self-dual tensor fields are…

High Energy Physics - Theory · Physics 2009-11-07 Gianguido Dall'Agata , Carl Herrmann , Marco Zagermann
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