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Related papers: Electric-Magnetic Duality Rotations in Non-Linear …

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We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are…

High Energy Physics - Theory · Physics 2009-10-31 Machiko Hatsuda , Kiyoshi Kamimura , Sayaka Sekiya

We investigate higher-derivative extensions of Einstein-Maxwell theory that are invariant under electromagnetic duality rotations, allowing for non-minimal couplings between gravity and the gauge field. Working in a derivative expansion of…

High Energy Physics - Theory · Physics 2021-09-01 Pablo A. Cano , Ángel Murcia

After defining the concept of duality in the context of general $n$-form abelian gauge fields in 2$n$ dimensions, we show by explicit example the difference between apparent but unrealizable duality transformations, namely those in…

High Energy Physics - Theory · Physics 2010-12-13 S. Deser

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 present a generalization of the $U(1)^{2}$ charged dilaton black holes family whose main feature is that both $U(1)$ fields have electric and magnetic charges, the axion field still being trivial. We show the supersymmetry of these…

High Energy Physics - Theory · Physics 2016-08-14 Tomás Ortín

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

In this paper it is studied a space-time duality web that maps electric into magnetic (and magnetic into electric) charged classical stationary rotating solutions for $2+1$-dimensional Abelian Einstein Maxwell Chern-Simons theories. A first…

High Energy Physics - Theory · Physics 2018-01-23 P. Castelo Ferreira

We present a systematic post-Newtonian treatment of binary charged black holes immersed in external magnetic fields within the framework of Einstein-Maxwell theory. By incorporating a uniform external magnetic field into the two-body…

General Relativity and Quantum Cosmology · Physics 2026-02-03 RunDong Tang , Lang Liu , Wen-Biao Han

We generalize duality invariance for the free Maxwell action in an arbitrary background geometry to include the presence of electric and magnetic charges. In particular, it follows that the actions of equally charged electric and magnetic…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , M. Henneaux , C. Teitelboim

Robinson--Trautman solutions with Nonlinear Electrodynamics are investigated for both L(F ) and L(F, G) Lagrangians and presence of electric and magnetic charges as well as electromagnetic radiation is assumed. Particular interest is…

General Relativity and Quantum Cosmology · Physics 2021-03-24 T. Tahamtan

The electric-magnetic duality transformation in four dimensional heterotic string theory discussed by Shapere, Trivedi and Wilczek is shown to be an exact symmetry of the equations of motion of low energy effective field theory even after…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

In the reduced phase space of electromagnetism, the generator of duality rotations in the usual Poisson bracket is shown to generate Maxwell's equations in a second, much simpler Poisson bracket. This gives rise to a hierarchy of…

High Energy Physics - Theory · Physics 2009-05-12 Glenn Barnich , Cedric Troessaert

We show that 4D gauge theories with Green-Schwarz anomaly cancellation and possible generalized Chern-Simons terms admit a formulation that is manifestly covariant with respect to electric/magnetic duality transformations. This generalizes…

High Energy Physics - Theory · Physics 2009-02-07 Jan De Rydt , Torsten T. Schmidt , Mario Trigiante , Antoine Van Proeyen , Marco Zagermann

We study nonminimal extensions of Einstein-Maxwell theory with exact electromagnetic duality invariance. Any such theory involves an infinite tower of higher-derivative terms whose computation and summation usually represents a challenging…

High Energy Physics - Theory · Physics 2021-11-17 Pablo A. Cano , Ángel Murcia

Black holes can be electromagnetically charged, or carry vector charge from new fundamental fields. Their response to small fluctuations is of paramount importance to study gravitational wave generation. However, the usual even and odd…

General Relativity and Quantum Cosmology · Physics 2023-10-25 David Pereñiguez

The quantum mechanical transition between a free particle Lagrangian and the Klein Gordon field description of a free particle (particle wave duality) is conjectured to extend to an analogous construction of relativistically invariant wave…

High Energy Physics - Theory · Physics 2007-05-23 L. M. Baker , D. B. Fairlie

The nonlinear Maxwell Lagrangian preserving both conformal and SO(2) duality-rotation invariance has been introduced very recently. Here, in the context of Einstein's theory of gravity minimally coupled with this nonlinear electrodynamics,…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Z. Amirabi , S. Habib Mazharimousavi

We construct a Lagrangian for general nonlinear electrodynamics that features electric and magnetic potentials on equal footing. In the language of this Lagrangian, discrete and continuous electric-magnetic duality symmetries can be…

High Energy Physics - Theory · Physics 2022-01-06 Zhirayr Avetisyan , Oleg Evnin , Karapet Mkrtchyan

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

We derive the equations for the odd and even parity perturbations of coupled electromagnetic and gravitational fields of a black hole with an electric charge within the context of general nonlinear electrodynamics. The Lagrangian density is…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Ramin G. Daghigh , Michael D. Green
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