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We perform an in-depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, $p$-form gauge fields, linearized gravitons or $(p,1)$ mixed symmetry tensors. Following a similar reasoning to…

High Energy Physics - Theory · Physics 2021-04-07 Athanasios Chatzistavrakidis , Georgios Karagiannis , Arash Ranjbar

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 generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time non-commutativity are necessary. The duality symmetry is then extended to a general class of…

High Energy Physics - Theory · Physics 2011-08-11 Yasumi Abe , Rabin Banerjee , Izumi Tsutsui

An intriguing connection, based on duality symmetry, between ordinary (commutative) Born-Infeld type theory and non-commutative Maxwell type theory, is pointed out. Both discrete as well as continuous duality transformations are considered…

High Energy Physics - Theory · Physics 2015-06-26 Rabin Banerjee

In this paper we constructed superloop space duality for a four dimensional supersymmetric Yang-Mills theory with $\mathcal{N} =1$ supersymmetry. This duality reduces to the ordinary loop space duality for the ordinary Yang-Mills theory. It…

High Energy Physics - Theory · Physics 2015-07-15 Mir Faizal , Tsou Sheung Tsun

Starting from Seiberg's electric-magnetic duality for supersymmetric QCD, we construct dual pairs of non-supersymmetric gauge theories. This is accomplished by first taking the large N limit of supersymmetric QCD and its dual partner and…

High Energy Physics - Theory · Physics 2016-08-25 Martin Schmaltz

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

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

We show that nonabelian duality is not a symmetry of a conformal field theory, but rather a symmetry between different theories. We expose a nonlocal symmetry of nonabelian dual theories. We show how, in the case with vanishing isotropy, it…

High Energy Physics - Theory · Physics 2009-10-22 Amit Giveon , Martin Rocek

There is an evidence that the N=2 Born-Infeld theory with spontaneously broken N=4 supersymmetry exhibits self-duality. We perform a further check of this hypothesis by constructing a new representation for the N=2 Born-Infeld action…

High Energy Physics - Theory · Physics 2015-06-18 E. A. Ivanov , B. M. Zupnik

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

Non-abelian U-duality originates from the construction of exceptional Drinfel'd algebra (EDA), which extends the constriction of the classical Drinfel'd double. This symmetry is a natural extension of Poisson--Lie T-duality and is believed…

High Energy Physics - Theory · Physics 2022-12-05 Edvard T. Musaev , Yuho Sakatani

Compactifications in duality covariant constructions such as generalised geometry and double field theory have proven to be suitable frameworks to reproduce gauged supergravities containing non-geometric fluxes. However, it is a priori…

High Energy Physics - Theory · Physics 2012-10-31 G. Dibitetto , J. J. Fernandez-Melgarejo , D. Marques , D. Roest

Duality is one of the oldest known symmetries of Maxwell equations. In recent years the significance of duality symmetry has been recognized in superstrings and high energy physics and there has been a renewed interest on the question of…

General Physics · Physics 2012-06-19 S. C. Tiwari

We point out that the duality symmetry of free electromagnetism does not hold in the quantum theory if an arbitrary classical gravitational background is present. The symmetry breaks in the process of renormalization, as also happens with…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Ivan Agullo , Aitor Landete , Jose Navarro-Salas

The supersymmetry of the electron in both the nonstationary magnetic and electric fields in a two-dimensional case is studied. The supercharges which are the integrals of motion and their algebra are established. Using the obtained algebra…

Quantum Physics · Physics 2008-11-26 V. M. Tkachuk

We present a summary of the applications of duality to Donaldson-Witten theory and its generalizations. Special emphasis is made on the computation of Donaldson invariants in terms of Seiberg-Witten invariants using recent results in N=2…

High Energy Physics - Theory · Physics 2007-05-23 J. M. F. Labastida , M. Marino

We show that every Galileon theory admits a dual formulation as a Galileon theory with new operator coefficients. In n dimensions a free scalar field in Minkowski spacetime is dual to a (n+1)-th order Galileon theory which exhibits the…

High Energy Physics - Theory · Physics 2014-05-07 Claudia de Rham , Matteo Fasiello , Andrew J. Tolley

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

By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to the electromagnetic theory. It turns out that the duality symmetry of the Einstein action…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Naresh Dadhich