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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 (3+1) Hamiltonian form, the conditions for the electric/magnetic invariance of generic self-interacting gauge vector actions and the definition of the duality generator are obvious. Instead, (3+1) actions are not intrinsically Lorentz…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , O. Sarioglu

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

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

High Energy Physics - Theory · Physics 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner

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 free action for massless Ramond-Ramond fields is derived from closed superstring field theory using the techniques of Siegel and Zwiebach. For the uncompactified Type IIB superstring, this gives a manifestly Lorentz-covariant action for…

High Energy Physics - Theory · Physics 2009-10-30 Nathan Berkovits

No positive result has been obtained on the magnetic monopoles search. This allows to consider different theoretical approaches as the proposed in this paper, developed in the framework of the Einstein General Relativity. The properties of…

High Energy Physics - Theory · Physics 2007-05-23 Juan Mendez

Electromagnetic duality of Maxwell theory is a symmetry of equations but not of the action. The usual application of the `complexity=action' conjecture would thus loose this duality. It was recently proposed in arxiv:1901.00014 that the…

High Energy Physics - Theory · Physics 2019-10-02 Hai-Shan Liu , H. Lu

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

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

We employ the Dirac-like equation for the gauge field proposed by Majorana to obtain an action that is symmetric under duality transformation. We also use the equivalence between duality and chiral symmetry in this fermion-like formulation…

High Energy Physics - Theory · Physics 2009-10-31 Everton M. C. Abreu , Marcelo Hott

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

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can transform covariantly, with degrees of…

High Energy Physics - Theory · Physics 2017-08-16 William Donnelly , Ben Michel , Aron Wall

We construct a general Lagrangian, quadratic in the field strengths of $n$ abelian gauge fields, which interpolates between BI actions of n abelian vectors and actions, quadratic in the vector field-strengths, describing Maxwell fields…

High Energy Physics - Theory · Physics 2015-06-23 Laura Andrianopoli , Riccardo D'Auria , Mario Trigiante

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

Double field theory describes a massless subsector of closed string theory with both momentum and winding excitations. The gauge algebra is governed by the Courant bracket in certain subsectors of this double field theory. We construct the…

High Energy Physics - Theory · Physics 2014-11-20 Olaf Hohm , Chris Hull , Barton Zwiebach

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

Bunster and Henneaux and, separately, Deser have very recently considered the possibility of gauging the usual electromagnetic duality of Maxwell equations. By using off-shell manipulations in the context of the Principle of least action,…

High Energy Physics - Theory · Physics 2011-06-03 Alberto Saa

One may write the Maxwell equations in terms of two gauge potentials, one electric and one magnetic, by demanding that their field strengths should be dual to each other. This requirement is the condition of twisted self-duality. It can be…

High Energy Physics - Theory · Physics 2011-07-01 Claudio Bunster , Marc Henneaux

Electric-magnetic dualities are equivalence between strong and weak coupling constants. A standard example is the exchange of electric and magnetic fields in an abelian gauge theory. We show three methods to perform electric-magnetic…

High Energy Physics - Theory · Physics 2016-06-29 Jun-Kai Ho , Chen-Te Ma
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