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Related papers: Self-dual Maxwell field in 3D gravity with torsion

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The general second-order massive field equations for arbitrary positive integer spin in three spacetime dimensions, and their "self-dual" limit to first-order equations, are shown to be equivalent to gauge-invariant higher-derivative field…

High Energy Physics - Theory · Physics 2010-04-22 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

We apply the noncommutative fields method for gauge theory in three dimensions where the Chern-Simons term is generated in the three-dimensional electrodynamics. Under the same procedure, the Chern-Simons term is shown to be cancelled in…

High Energy Physics - Theory · Physics 2008-11-26 J. R. Nascimento , A. Yu. Petrov , R. F. Ribeiro

A group of volume-preserving diffeomorphisms in 3D turns out to play a key role in an Einstein-Maxwell theory whose Weyl tensor is selfdual and whose Maxwell tensor has algebraically general anti-selfdual part. This model was first…

High Energy Physics - Theory · Physics 2009-10-22 Kanehisa Takasaki

We generate from the static charged BTZ black hole a family of spinning charged solutions to the Einstein-Maxwell equations in 2+1 dimensions. These solutions go over, in a suitable limit, to self-dual spinning charged solutions, which are…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Gérard Clément

We consider three-dimensional gravity based on torsion. Specifically, we consider an extension of the so-called Teleparallel Equivalent of General Relativity in the presence of a scalar field with a self-interacting potential, where the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 P. A. González , Joel Saavedra , Yerko Vásquez

We consider spatially covariant modified gravity in which the would-be scalar degree of freedom is made non-dynamical and hence there are just two tensorial degrees of freedom, i.e., the same number of dynamical degrees of freedom as in…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Aya Iyonaga , Tsutomu Kobayashi

We show that (specifically scaled) equations of shear-free null geodesic congruences on the Minkowski space-time possess intrinsic self-dual, restricted gauge and algebraic structures. The complex eikonal, Weyl 2-spinor, $SL(2,\mathbb C)$…

General Relativity and Quantum Cosmology · Physics 2017-01-01 Vladimir V. Kassandrov , Joseph A. Rizcallah

The Maxwell field can be viewed as a $U(1)$-gauge theory, therefore, generalizing it to form-invariance in dynamical spacetime backgrounds should take this symmetry into account. This is of essential importance when generalizations of…

General Relativity and Quantum Cosmology · Physics 2020-04-17 Johannes Münch , Jürgen Struckmeier , David Vasak

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string…

High Energy Physics - Theory · Physics 2009-11-07 P. de Medeiros , C. Hull

We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields.…

High Energy Physics - Theory · Physics 2009-10-30 Masaru Kamata , Takao Koikawa

Large N matrices can describe covariant derivatives in curved space. Applying this interpretation to the IKKT matrix model, the field equation of gravity is derived from the matrix equation of motion. We study classical solutions of this…

High Energy Physics - Theory · Physics 2013-05-29 Hiroshi Isono , Dan Tomino

We investigate a class of localized, stationary, particular numerical solutions to the Maxwell-Dirac system of classical nonlinear field equations. The solutions are discrete energy eigenstates bound predominantly by the self-produced…

High Energy Physics - Theory · Physics 2010-12-02 A. Garrett Lisi

Issuing from a geometry with nonmetricity and torsion we build up a classical theory of gravitation and electromagnetism. The theory is coordinate covariant as well Weyl-gauge covariant. Massless and massive photons, intrinsic electr. and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Israelit

We study exact solutions to Cosmological Topologically Massive Gravity (CTMG) coupled to Topologically Massive Electrodynamics (TME) at special values of the coupling constants. For the particular case of the so called chiral point…

High Energy Physics - Theory · Physics 2009-10-13 Alan Garbarz , Gaston Giribet , Yerko Vásquez

The Weyl double copy (WDC) relation connects the Weyl tensor of the gravity theory and the field strength tensor of the Maxwell theory, which provides a concrete realization of the classical double copy. Although intensively investigated,…

High Energy Physics - Theory · Physics 2025-04-29 Weicheng Zhao , Pu-Jian Mao , Jun-Bao Wu

This study investigates the possibility of a homogeneous and isotropic cosmological solution within the context of the Maxwell-Weyl gauge theory of gravity. To achieve this, we utilize the Einstein-Yang-Mills theory as an analogy and…

General Relativity and Quantum Cosmology · Physics 2024-07-26 Salih Kibaroğlu

This paper aims to investigate the classical duality between the $SIM(2)$-Maxwell-Kalb-Ramond (MKR) theory and a self-dual non-gauge-invariant model. First, we establish the equivalence in the free-field case using two complementary…

High Energy Physics - Theory · Physics 2026-01-27 Fernando M. Belchior , Roberto V. Maluf

The 4D Maxwell theory with single-sided planar boundary is considered. As a consequence of the presence of the boundary, two broken Ward identities are recovered, which, on-shell, give rise to two conserved currents living on the edge. A…

High Energy Physics - Theory · Physics 2020-07-08 Erica Bertolini , Nicola Maggiore

The 2+1 black hole coupled to a Maxwell field can be charged in two different ways. On the one hand, it can support a Coulomb field whose potential grows logarithmically in the radial coordinate. On the other, due to the existence of a…

High Energy Physics - Theory · Physics 2009-11-11 T. Andrade , M. Banados , R. Benguria , A. Gomberoff

We prove a formula for the global gravitational anomaly of the self-dual field theory in the presence of background gauge fields, assuming the results of arXiv:1110.4639. Along the way, we also clarify various points about the self-dual…

High Energy Physics - Theory · Physics 2016-04-21 Samuel Monnier