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Related papers: Dual symmetry in a generalized Maxwell theory

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We give a prescription for N=1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the…

High Energy Physics - Theory · Physics 2023-03-08 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend

Dual electrodynamics and corresponding Maxwell's equations (in the presence of monopole only) are revisited from the symmetry of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two…

High Energy Physics - Theory · Physics 2015-05-20 O. P. S. Negi , H. Dehnen

We elaborate on the duality-symmetric nonlinear electrodynamics in a new formulation with auxiliary tensor fields. The Maxwell field strength appears only in bilinear terms of the corresponding generic Lagrangian, while the self-interaction…

High Energy Physics - Theory · Physics 2009-11-10 E. A. Ivanov , B. M. Zupnik

We extend the duality symmetry between the electric and the magnetic fields to the case in which an additional axion-like term is present, and we derive the set of Maxwell's equations that preserves this symmetry. This new set of equations…

Classical Physics · Physics 2022-06-14 Luca Visinelli

Modern physics is largely devoted to study conservation laws, such as charge, energy, linear momentum or angular momentum, because they give us information about the symmetries of our universe. Here, we propose to add the relationship…

We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories. We derive the action of 2-form gauge field that is dual to two kinds of…

High Energy Physics - Theory · Physics 2019-10-30 Daisuke Yoshida

It was established long ago that SO(2) electric-magnetic duality is an {\em off-shell} symmetry of the free Maxwell theory, i.e., that it leaves invariant the action and not just the equations of motion. We review here that analysis and…

High Energy Physics - Theory · Physics 2014-03-14 Claudio Bunster , Marc Henneaux

The interest in higher derivatives field theories has its origin mainly in their influence concerning the renormalization properties of physical models and to remove ultraviolet divergences. In this letter we have introduced the…

High Energy Physics - Theory · Physics 2013-12-05 Everton M. C. Abreu , Rafael L. Fernandes , Jorge Ananias Neto

All nonlinear extensions of the source-free Maxwell equations preserving both SO(2) electromagnetic duality invariance and conformal invariance are found, and shown to be limits of a one-parameter generalisation of Born-Infeld…

High Energy Physics - Theory · Physics 2021-01-04 Igor Bandos , Kurt Lechner , Dmitri Sorokin , Paul K. Townsend

It is shown that classical nonsupersymmetric Yang-Mills theory in 4 dimensions is symmetric under a generalized dual transform which reduces to the usual dual *-operation for electromagnetism. The parallel phase transport $\tilde{A}_\mu(x)$…

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

There exists a formulation of the Maxwell theory in terms of two vector potentials, one electric and one magnetic. The action is then manifestly invariant under electric-magnetic duality transformations, which are rotations in the…

High Energy Physics - Theory · Physics 2014-03-14 Claudio Bunster , Marc Henneaux

We derive the asymptotic symmetries of the manifestly duality invariant formulation of electromagnetism in Minkoswki space. We show that the action is invariant under two algebras of angle-dependent $u(1)$ transformations, one electric and…

High Energy Physics - Theory · Physics 2020-07-15 Marc Henneaux , Cédric Troessaert

We consider a generalization of nonrelativistic Schr\"odinger-Higgs Lagrangian by introducing a nonstandard kinetic term. We show that this model is Galilean invariant, we construct the conserved charges associated to the symmetries and…

High Energy Physics - Theory · Physics 2015-11-18 Lucas Sourrouille

We identify new families of duality-invariant theories of electrodynamics. We achieve this in two different ways. On the one hand, we present an algorithm to construct a one-parameter family of exactly duality-invariant theories from a…

High Energy Physics - Theory · Physics 2025-11-11 Ángel J. Murcia

In this paper, we study the theory of second gradient electromagnetostatics as the static version of second gradient electrodynamics. The theory of second gradient electrodynamics is a linear generalization of higher order of classical…

Classical Physics · Physics 2020-07-03 Markus Lazar , Jakob Leck

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

Gauge invariance, a core principle in electrodynamics, has two separate meanings. One concept treats the photon as the gauge particle for electrodynamics. It is based on symmetries of the Lagrangian, and requires no mention of electric or…

General Physics · Physics 2022-02-08 H. R. Reiss

This paper is a critical study of non-standard Maxwellian electrodynamics. It explores two important topics: the inclusion of both magnetic and electric charge to produce what it calls Extended Electrodynamics, and the existence of a…

Classical Physics · Physics 2023-03-15 Oliver Davis Johns

The classical symmetry of the source-free Maxwell equations under electric-magnetic duality rotations leads to a conserved Noether charge, corresponding to the circular polarization of light. We show that, in quantum field theory, the…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Adrián del Río

We apply the Hamiltonian formalism to investigate the massless sector of scalar field theory coupled with Maxwell electrodynamics through the Pontryagin term. Specifically, we analyze asymptotic symmetries at the null infinity of this…

High Energy Physics - Theory · Physics 2024-12-20 Hernán A. González , Oriana Labrin , Olivera Miskovic