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Given a model for self-dual non-linear electrodynamics in four spacetime dimensions, any deformation of this theory which is constructed from the duality-invariant energy-momentum tensor preserves duality invariance. In this work we present…

High Energy Physics - Theory · Physics 2023-11-30 Christian Ferko , Sergei M. Kuzenko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

We study duality transformation and duality symmetry in the the electromagnetic-like charged p-form theories. It is shown that the dichotomic characterization of duality groups as $Z_2$ or SO(2) remains as the only possibilities but are now…

High Energy Physics - Theory · Physics 2009-11-10 Roberto Menezes , Clovis Wotzasek

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

We investigate an action that includes simultaneously original and dual gravitational fields (in the first order formalism), where the dual fields are completely determined in terms of the original fields through axial gauge conditions and…

High Energy Physics - Theory · Physics 2008-11-26 U. Ellwanger

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

We consider the Lagrangian density for a free Maxwell field, in which the electromagnetic field tensor minimally couples to the affine connection, in the Einstein-Cartan-Sciama-Kibble theory of gravity. We derive the formulae for the…

General Relativity and Quantum Cosmology · Physics 2011-10-06 Nikodem J. Poplawski

Maxwell's equations in curved space-time are invariant under electromagnetic duality transformations. We exploit this property to constraint the design parameters of metamaterials used for transformations optics. We show that a general…

Optics · Physics 2013-10-21 Ivan Fernandez-Corbaton , Gabriel Molina-Terriza

We describe a class of unified theories of electromagnetism and gravity. The Lagrangian is of the BF type, with a potential for the B-field, the gauge group is U(2) (complexified). Given a choice of the potential function the theory is a…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Alexander Torres-Gomez , Kirill Krasnov , Carlos Scarinci

This thesis is divided in two parts. The first part contains the study of some properties of the electromagnetic duality in 4 dimensions. An extended double potential formalism for linearized gravity is introduced which allows to write an…

High Energy Physics - Theory · Physics 2013-12-23 Cedric Troessaert

Fractons, excitations with restricted mobility, have emerged as a novel paradigm in high-energy and condensed matter physics, revealing deep connections to gauge theories and gravity. Here, we propose a tensorial generalization of…

High Energy Physics - Theory · Physics 2025-07-08 Erica Bertolini , Giandomenico Palumbo

This thesis deals with the construction of conserved charges for asymptotically flat spacetimes at spatial infinity in four spacetime dimensions in a hopefully pedagogical way. As a first motivation of this work, it highlights the…

High Energy Physics - Theory · Physics 2011-12-20 François Dehouck

Nonlinear theories generalizing Maxwell's electromagnetism and arising from a Lagrangian formalism have dispersion relations in which propagation planes factor into null planes corresponding to two effective metrics which depend on the…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Fernando Abalos , Federico Carrasco , Érico Goulart , Oscar Reula

An approach to the teaching of electromagnetism to senior undergraduate students, designed for overcoming the fragmentation of the theory is described. As usual it starts from the static case, but it is strictly based on Helmholtz theorem…

Physics Education · Physics 2007-05-23 Nelson P. Andion

We describe the interplay between electric-magnetic duality and higher symmetry in Maxwell theory. When the fine-structure constant is rational, the theory admits non-invertible symmetries which can be realized as composites of…

High Energy Physics - Theory · Physics 2023-08-01 Clay Cordova , Kantaro Ohmori

It is considered a mechanism of dynamical symmetry breaking for extended Ue(1)xUg(1) containing, one vector gauge field 'A' (photon) and one pseudo-vector gauge field 'C' (pseudo-photon). By choosing a particular solution of the equations…

High Energy Physics - Theory · Physics 2007-07-09 P. Castelo Ferreira

We revisit the question of whether classical general relativity obeys, beyond the linearised order, an analogue of the global U(1) electric-magnetic duality of Maxwell theory, with the Riemann tensor playing the role analogous to the field…

High Energy Physics - Theory · Physics 2024-05-02 Ricardo Monteiro

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 present a new unified covariant description of electromagnetic field properties for an arbitrary space-time. We derive a complete set of irreducible components describing a six-dimensional electromagnetic field from the Maxwell and…

Classical Physics · Physics 2007-05-23 David Sundkvist

This paper characterizes the symmetric rank-2 stress-energy-momentum tensor associated with fields whose Lagrangian densities are expressed as the dot product of two multivector fields, e. g., scalar or gauge fields, in flat space-time. The…

General Physics · Physics 2021-04-15 Alfonso Martinez , Josep Font-Segura , Ivano Colombaro

In this paper after reviewing the Schouten and de Rham definition of impair and pair differential form fields (not to be confused with differential form fields of even and odd grades) we prove that in a relativistic spacetime it is possible…

Mathematical Physics · Physics 2010-01-29 Roldao da Rocha , Waldyr A. Rodrigues