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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 discuss under what conditions the duality between electric and magnetic fields is a valid symmetry of macroscopic quantum electrodynamics. It is shown that Maxwell's equations in the absence of free charges satisfy duality invariance on…

Quantum Physics · Physics 2009-12-14 Stefan Yoshi Buhmann , Stefan Scheel

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

We provide a full realization of the electromagnetic duality at the boundary by extending the phase space of Maxwell's theory through the introduction of edge modes and their conjugate momenta. We show how such extension, which follows from…

High Energy Physics - Theory · Physics 2018-12-24 Laurent Freidel , Daniele Pranzetti

Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models…

High Energy Physics - Theory · Physics 2020-01-08 D. Astefanesei , C. Herdeiro , A. Pombo , E. Radu

Following earlier works of Dereli and collaborators, we study a three dimensional toy model where we extend the topologically massive gravity with electrodynamics by the most general $RF^2$-type non-minimal coupling terms. Here $R$ denotes…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Kıvanç İ. Ünlütürk , Cem Yetişmişoğlu

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 generalize the Electric-magnetic (EM) duality in the quantum double (QD) models to the case of topological orders with gapped boundaries. We also map the QD models with boundaries to the Levin-Wen (LW) models with boundaries. To this…

Strongly Correlated Electrons · Physics 2020-02-11 Hongyu Wang , Yingcheng Li , Yuting Hu , Yidun Wan

Known as a symmetry of vacuum Maxwell equations, the electric-magnetic duality can be lifted actually to a symmetry of an action. The Lagrangian of this action is written in terms of two vector potentials, one electric and one magnetic, and…

High Energy Physics - Theory · Physics 2014-11-21 Ignacio Cortese , José Antonio García

The classical theory of electrodynamics cannot explain the existence and structure of electric and magnetic dipoles, yet it incorporates such dipoles into its fundamental equations, simply by postulating their existence and properties, just…

Optics · Physics 2015-03-10 Masud Mansuripur

For D=4 theories of a single U(1) gauge field strength coupled to gravity and matters, we show that the electric-magnetic duality can be formulated as an invariance of the actions. The symmetry is associated with duality rotation acting…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Igarashi , Katsumi Itoh , Kiyoshi Kamimura

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

In this letter we introduce a particular solution for parallel electric and magnetic fields, in a gravitational background, which satisfy free-wave equations and the phenomenology suggested by astrophysical plasma physics. These free-wave…

High Energy Physics - Theory · Physics 2009-11-11 E. M. C. Abreu , C. Pinheiro , S. A. Diniz , F. C. Khanna

We study symmetry properties of the Einstein-Maxwell theory nonminimaly coupled to the dilaton field. We consider a static case with pure electric (magnetic) Maxwell field and show that the resulting system becomes a nonlinear sigma-model…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Oleg V. Kechkin , Maria V. Yurova

We discuss duality invariant interactions between electromagnetic fields and matter. The case of scalar fields is treated in some detail.

High Energy Physics - Theory · Physics 2009-10-30 Mary K. Gaillard , Bruno Zumino

Chapters : 1. Introduction to electric-magnetic duality 2. Classical duality in bosonic brane electrodynamics 3. Massless spin two gauge theory 4. Duality-symmetric actions and chiral forms 5. BRST quantization of duality-symmetric…

High Energy Physics - Theory · Physics 2007-05-23 Xavier Bekaert

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

We summarize the global geometric formulation of Einstein-Scalar-Maxwell theories twisted by flat symplectic vector bundle which encodes the duality structure of the theory. We describe the scalar-electromagnetic symmetry group of such…

Differential Geometry · Mathematics 2023-09-28 C. Lazaroiu , C. S. Shahbazi

We describe a novel duality symmetry of Phi(4)-theory defined on noncommutative Euclidean space and with noncommuting momentum coordinates. This duality acts on the fields by Fourier transformation and scaling. It is an extension, to…

High Energy Physics - Theory · Physics 2008-11-26 Edwin Langmann , Richard J. Szabo

We revisit electric and magnetic surface charges and edge modes in four-dimensional Maxwell theory and QED on a spacetime with a finite spatial boundary. Using the S-wall, which implements electromagnetic duality, we clarify the dual…

High Energy Physics - Theory · Physics 2026-05-28 Keito Shimizu , Sotaro Sugishita