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Related papers: Dual symmetry in a generalized Maxwell theory

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Starting with the generalized potentials, currents, field tensors and electromagnetic vector fields of dyons as the complex complex quantities with real and imaginary counter parts as electric and magnetic constituents, we have established…

High Energy Physics - Theory · Physics 2007-05-23 H. Dehnen , O. P. S. Negi

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 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

The surface charges associated with $p$-form gauge fields in the Bondi patch of $D$-dimensional Minkowski spacetime are computed. We show that, under the Hodge duality between the field strengths of the dual formulations, electric-like…

Mathematical Physics · Physics 2026-01-26 Federico Manzoni

We analyze the Coulomb phase of theories of $N=2$ SQCD with $SU(N_c)$ gauge groups which are conjectured to have exact electric-magnetic duality. We discuss the duality transformation of the particle spectrum, emphasizing the differences…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Shimon Yankielowicz

It is shown that electro (magneto) static sector of Maxwell's electrodynamics coupled to the dilaton field in a string theory form possesses the symmetry group of the stationary General Relativity in vacuum. Performing the Ernst formalism,…

High Energy Physics - Theory · Physics 2016-09-07 Oleg V. Kechkin , Pavel A. Mosharev

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

We consider Maxwell theory on a non-spin manifold. Depending on the choice of statistics for line operators, there are three non-anomalous theories and one anomalous theory with different symmetry fractionalizations. We establish the…

High Energy Physics - Theory · Physics 2024-11-05 Naoto Kan , Kohki Kawabata , Hiroki Wada

The generalized Maxwell equations with arbitrary gauge parameter are considered in the $11\times 11$-matrix form. The gauge invariance of such a model is broken due to the presence of a scalar field. The canonical and symmetrical Belinfante…

High Energy Physics - Theory · Physics 2012-02-22 S. I. Kruglov

In this paper, we discuss the Maxwell equations in terms of differential forms, both in the 3-dimensional space and in the 4-dimensional space-time manifold. Further, we view the classical electrodynamics as the curvature of a line bundle,…

Mathematical Physics · Physics 2011-12-06 Shenghua Du , Cheng Hao , Yueke Hu , Yuming Hui , Quan Shi , Li Wang , Yuqing Wu

The theory of magnetohydrodynamics is extended to the cases of a plasma of separate magnetic and electric charges, as well as to a plasma of dyons respectively. In both these cases the system possesses electric-magnetic duality symmetry. In…

High Energy Physics - Theory · Physics 2009-10-30 Omduth Coceal , Wafic A. Sabra , Steven Thomas

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 analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent…

High Energy Physics - Theory · Physics 2018-05-30 Marc Henneaux , Cédric Troessaert

We write down scalar field theory and gauge theory on two-dimensional noncommutative spaces ${\cal M}$ with nonvanishing curvature and non-constant non-commutativity. Usual dynamics results upon taking the limit of ${\cal M}$ going to i) a…

High Energy Physics - Theory · Physics 2008-11-26 A. Stern

Strating with the Maxwell's equations in presence of electric and magnetic sources in an isotropic homogenous medium, we have derived the various quantum equations of dyons in consistent and manifest covariant way. It has been shown that…

High Energy Physics - Theory · Physics 2007-05-23 Jivan Singh , P. S. Bisht , O. P. S. Negi

The classic question of a nonabelian Yang-Mills analogue to electromagnetic duality is here examined in a minimalist fashion at the strictly 4-dimensional, classical field and point charge level. A generalisation of the abelian Hodge star…

High Energy Physics - Theory · Physics 2009-10-28 Chan Hong-Mo , J. Faridani , Tsou Sheung Tsun

In this work, we study the duality symmetry group of Carrollian (nonlinear) electrodynamics and propose a family of Carrollian ModMax theories, which are invariant under Carrollian $\text{SO}(2)$ electromagnetic (EM) duality transformations…

High Energy Physics - Theory · Physics 2024-08-06 Bin Chen , Jue Hou , Haowei Sun

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

This paper offers an informal instructive introduction to some of the main notions of geometric continuum mechanics for the case of smooth fields. We use a metric invariant stress theory of continuum mechanics to formulate a simple…

Mathematical Physics · Physics 2023-12-14 Reuven Segev

We extend the work of Mello et al. based in Cabbibo and Ferrari concerning the description of electromagnetism with two gauge fields from a variational principle, i.e. an action. We provide a systematic independent derivation of the allowed…

High Energy Physics - Theory · Physics 2007-05-23 P. Castelo Ferreira