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In this article are computed magnetic solutions of Einstein Maxwell Chern-Simons theory coupled to a dilaton-like scalar field. These solutions are computed by applying a space-time duality suggested by the author to known electric…

General Relativity and Quantum Cosmology · Physics 2021-03-12 P. Castelo Ferreira

The fundamental metrics, which describe any static three-dimensional Einstein-Maxwell spacetime (depending only on a unique spacelike coordinate), are found. In this case there are only three independent components of the electromagnetic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mauricio Cataldo

Electromagnetic duality is discussed in the context of Einstein-Maxwell-scalar (EMS) models including axionic-type couplings. This family of models introduces two non-minimal coupling functions $f(\phi)$ and $g(\phi)$, depending on a real…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Carlos A. R. Herdeiro , João M. S. Oliveira

In three-dimensional Einstein-Maxwell gravity the electrostatic Banados-Teitelboim-Zanelli solution and the magnetostatic Hirschmann-Welch solution are connected by a duality mapping. Here we point out that a similar duality mapping exists…

High Energy Physics - Theory · Physics 2009-11-07 M. Cataldo

Two field 2-forms on the space-time manifold, in a relationship of duality, are presented and included in the extended phase-space structure used to describe relativistic particles having both electric and magnetic charges. By exterior…

Mathematical Physics · Physics 2010-11-30 M. Grigorescu

We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one…

High Energy Physics - Theory · Physics 2008-11-26 Erik Verlinde

An outline is given of recent work concerning the electromagnetic duality properties of Maxwell theory on curved space-times with or without spin structures.

High Energy Physics - Theory · Physics 2007-05-23 David I Olive

By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to the electromagnetic theory. It turns out that the duality symmetry of the Einstein action…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Naresh Dadhich

Electromagnetic duality is a symmetry of the source-free Einstein-Maxwell equations that rotates electric and magnetic fields while leaving the stress-energy tensor invariant. We present the first fully nonlinear realization of this…

General Relativity and Quantum Cosmology · Physics 2026-05-21 José Ferreira , Gabriele Bozzola , Carlos A. R. Herdeiro , Vasileios Paschalidis , Miguel Zilhão

We show that there is a function of one variable's worth of Lagrangians for a single Maxwell field coupled to gravity whose equations of motion admit electric-magnetic duality. Such Lagrangians are given by solutions of the Hamilton-Jacobi…

High Energy Physics - Theory · Physics 2009-10-07 G W Gibbons , D A Rasheed

We consider the ($3{+}1$)-dimensional Maxwell theory in the situation where going around nontrivial paths in the spacetime involves the action of the duality transformation exchanging the electric field and the magnetic field, as well as…

High Energy Physics - Theory · Physics 2019-10-18 Chang-Tse Hsieh , Yuji Tachikawa , Kazuya Yonekura

We find an analog of the electric-magnetic duality, which is a $Z_2$ transformation between magnetic and electric sectors of the static and rotationally symmetric solutions in a class of (2+1)-dimensional Einstein-Maxwell-Dilaton gravity…

High Energy Physics - Theory · Physics 2014-11-18 Youngjai Kiem , Dahl Park

It is known that an electric-magnetic duality transformation is a symmetry of the classical source-free Maxwell theory in generic spacetimes. This provides a conserved Noether charge, physically related to the polarization state of the…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Adrian del Rio

After reviewing briefly the classical examples of duality in four dimensional field theory we present a generalisation to arbitrary dimensions and to p-form fields. Then we explain how U-duality may become part of a larger non abelian…

High Energy Physics - Theory · Physics 2007-05-23 Bernard L. Julia

We point out that the duality symmetry of free electromagnetism does not hold in the quantum theory if an arbitrary classical gravitational background is present. The symmetry breaks in the process of renormalization, as also happens with…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Ivan Agullo , Aitor Landete , Jose Navarro-Salas

We study issues of duality in 3D field theory models over a canonical noncommutative spacetime and obtain the noncommutative extension of the Self-Dual model induced by the Seiberg-Witten map. We apply the dual projection technique to…

High Energy Physics - Theory · Physics 2009-11-10 M. S. Guimarães , J. L. Noronha , D. C. Rodrigues , C. Wotzasek

The solutions of the Einstein-Maxwell-Chern-Simons theory are studied in (1+2) dimensions with the self-duality condition imposed on the Maxwell field. We give a closed form of the general solution which is determined by a single function…

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. Dereli , Yu. N. Obukhov

We study electric stationary radial symmetric classical solutions of the U(1) Einstein Maxwell Chern-Simons theory coupled to a gravitational massless scalar field with a cosmological constant in 2+1 dimensions. Generic aspects of the…

High Energy Physics - Theory · Physics 2008-11-26 P. Castelo Ferreira

Building on earlier work in the high energy and condensed matter communities, we present a web of dualities in $2+1$ dimensions that generalize the known particle/vortex duality. Some of the dualities relate theories of fermions to theories…

High Energy Physics - Theory · Physics 2016-11-23 Nathan Seiberg , T. Senthil , Chong Wang , Edward Witten

We derive Maxwell equations for electric and magnetic fields in curved spacetime from first principles, relaxing an unnecessary assumption on the structure of the four-potential inherent to the standard approach and thus restoring the full…

High Energy Physics - Phenomenology · Physics 2023-10-13 Anton V. Sokolov
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