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The electric-magnetic duality transformation in four dimensional heterotic string theory discussed by Shapere, Trivedi and Wilczek is shown to be an exact symmetry of the equations of motion of low energy effective field theory even after…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

The field equations of noncommutative gravity can be obtained by replacing all exterior products by twist-deformed exterior products in the action functional of general relativity, and are here studied by requiring that the torsion 2-form…

High Energy Physics - Theory · Physics 2015-06-18 Elisabetta Di Grezia , Giampiero Esposito , Patrizia Vitale

The Dualized Standard Model which has a number of very interesting physical consequences is itself based on the concept of a nonabelian generalization to electric-magnetic duality. This paper explains first the reasons why the ordinary…

High Energy Physics - Theory · Physics 2014-11-18 HM Chan , ST Tsou

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

This is a general introduction to electric-magnetic duality in non-abelian gauge theories. In chapter I, I review the general ideas which led in the late 70s to the idea of electric/magnetic duality in quantum field theory. In chapters II…

High Energy Physics - Theory · Physics 2008-02-03 Frank Ferrari

We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the…

High Energy Physics - Theory · Physics 2009-10-31 Gary W. Gibbons , Koji Hashimoto

The field of an electromagnetic (E) dipole has been examined using general relativistic (R) and quantum mechanical (Q) points of view, and an E=Q=R equivalence principle presented whereas the curvature of the electromagnetic streamlines of…

General Physics · Physics 2007-05-23 V. F. Tamari

This article develops a duality principle for a semi-linear model in micro-magnetism. The results are obtained through standard tools of convex analysis and the Legendre transform concept. We emphasize the dual variational formulation…

Optimization and Control · Mathematics 2017-12-14 Fabio Botelho

Holographic duality conjecture has been proposed to be a novel non-perturbative theoretical framework for the description of strongly correlated electrons. However, the duality transformation is not specified to cause ambiguity in the…

Strongly Correlated Electrons · Physics 2020-09-08 Ki-Seok Kim

Recently the vacuum structure of a large class of four dimensional (supersymmetric) quantum field theories was determined exactly. These theories exhibit a wide range of interesting new physical phenomena. One of the main new insights is…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg

We study four dimensional $N=2$ supersymmetric gauge theories with matter multiplets. For all such models for which the gauge group is $SU(2)$, we derive the exact metric on the moduli space of quantum vacua and the exact spectrum of the…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

We establish a duality between the free massless relativistic particle in d dimensions, the non-relativistic hydrogen atom (1/r potential) in (d-1) space dimensions, and the harmonic oscillator in (d-2) space dimensions with its mass given…

High Energy Physics - Theory · Physics 2016-08-25 Itzhak Bars

We study electric-magnetic duality rotations for noncommutative electromagnetism (NCEM). We express NCEM as a nonlinear commutative U(1) gauge theory and show that it is self-dual when the noncommutativity parameter \theta is light-like…

High Energy Physics - Theory · Physics 2009-11-07 Paolo Aschieri

In four dimensions, partially massless fields of all spins and depths possess a duality invariance akin to electric-magnetic duality. We construct metric-like gauge invariant curvature tensors for partially massless fields of all integer…

High Energy Physics - Theory · Physics 2016-09-26 Kurt Hinterbichler , Austin Joyce

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

Non-compact symmetries of extended 4d supergravities involve duality rotations of vectors and thus are not manifest off-shell invariances in standard "second-order" formulation. To study how such symmetries are realised in the quantum…

High Energy Physics - Theory · Physics 2015-06-05 R. Roiban , A. A. Tseytlin

We quantize the Maxwell theory in the presence of a electric charge in a "dual" Loop Representation, i.e. a geometric representation of magnetic Faraday's lines. It is found that the theory can be seen as a theory without sources, except by…

High Energy Physics - Theory · Physics 2014-11-20 Lorenzo Leal

We establish the consistency of duality transformations for generic systems of $N=2$ vector supermultiplets in the presence of a chiral background field. This is relevant, for instance, when dealing with spurion fields or when considering…

High Energy Physics - Theory · Physics 2008-11-26 Bernard de Wit

We propose a duality in the relative Langlands program. This duality pairs a Hamiltonian space for a group $G$ with a Hamiltonian space under its dual group $\check{G}$, and recovers at a numerical level the relationship between a period on…

Representation Theory · Mathematics 2024-09-10 David Ben-Zvi , Yiannis Sakellaridis , Akshay Venkatesh

We extend an axiomatic approach to classical electrodynamics, which we developed recently, to the case of non-vanishing magnetic charge. Then two axioms, namely those of the existence of the Lorentz force (Axiom 2) and of magnetic flux…

Classical Physics · Physics 2009-11-10 Friedrich W. Hehl , Yuri N. Obukhov
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