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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

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger-Simons differential cohomology on the category of globally hyperbolic Lorentzian…

High Energy Physics - Theory · Physics 2017-01-12 Christian Becker , Marco Benini , Alexander Schenkel , Richard J. Szabo

We investigate field theory puzzles occuring in the interplay between supersymmetry and duality in the presense of rotational isometries (also known as non-triholomorphic in hyper-Kahler geometry). We show that T-duality is always…

High Energy Physics - Theory · Physics 2007-05-23 I. Bakas , K. Sfetsos

Electric-magnetic duality allows to calculate the central charges of N=2 supersymmetric theories with massless hypermultiplets as derivatives of simple modular forms. The procedure reproduces the Seiberg-Witten results for N_f=0,2,3 in a…

High Energy Physics - Theory · Physics 2007-05-23 Werner Nahm

We propose an electric-magnetic duality and conjecture an exact conformal window for a class of non-supersymmetric U(N_c) gauge theories with fermions in the (anti)symmetric representation of the gauge group and N_f additional scalar and…

High Energy Physics - Theory · Physics 2008-11-26 Adi Armoni , Dan Israel , Gregory Moraitis , Vasilis Niarchos

An extended field theory is presented that captures the full SL(2) x O(6,6+n) duality group of four-dimensional half-maximal supergravities. The theory has section constraints whose two inequivalent solutions correspond to minimal D=10…

High Energy Physics - Theory · Physics 2017-05-24 Franz Ciceri , Giuseppe Dibitetto , J. J. Fernandez-Melgarejo , Adolfo Guarino , Gianluca Inverso

We study in detail the space of perturbations of a pair of dual $N=1$ supersymmetric theories based on an $SU(N_c)$ gauge theory with an adjoint $X$ and fundamentals with a superpotential which is polynomial in $X$. The equivalence between…

High Energy Physics - Theory · Physics 2009-09-15 D. Kutasov , A. Schwimmer , N. Seiberg

The self-duality of the N=1 supersymmetric Born--Infeld action implies a double self-duality of the tensor multiplet square-root action when the scalar and the antisymmetric tensor are interchanged via Poincare' duality. We show how this…

High Energy Physics - Theory · Physics 2015-06-11 S. Ferrara , A. Sagnotti , A. Yeranyan

We study how the supersymmetry algebra copes with gravitational duality. As a playground, we consider a charged Taub-NUT solution of D=4, N=2 supergravity. We find explicitly its Killing spinors, and the projection they obey provides…

High Energy Physics - Theory · Physics 2009-06-30 Riccardo Argurio , François Dehouck , Laurent Houart

It is known that an electric-magnetic duality transformation is a symmetry of the classical source-free Maxwell theory in generic spacetimes. This provides a conserved Noether charge, physically related to the polarization state of the…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Adrian del Rio

We discuss toroidal compactifications of maximal supergravity coupled to an extended configuration of BPS states which transform consistently under the U-duality group. Under certain conditions this leads to theories that live in more than…

High Energy Physics - Theory · Physics 2015-06-25 Bernard de Wit

A new model of nonlinear electrodynamics named as \emph{"double-logarithmic"} is introduced and investigated. The theory carries one dimensionful parameter of the $\beta$ as Born-Infeld electrodynamics. It is shown that the dual symmetry…

General Relativity and Quantum Cosmology · Physics 2020-09-21 Ibrahim Gullu , S. Habib Mazharimousavi

In the reduced phase space of electromagnetism, the generator of duality rotations in the usual Poisson bracket is shown to generate Maxwell's equations in a second, much simpler Poisson bracket. This gives rise to a hierarchy of…

High Energy Physics - Theory · Physics 2009-05-12 Glenn Barnich , Cedric Troessaert

Duality symmetries in supergravity theories, together with their implications for string theory, are reviewed.

High Energy Physics - Theory · Physics 2025-04-15 Chris Hull

We construct supergravity solutions dual to twisted field theories that are the worldvolume theories of D4-branes wrapped on 2, 3-cycles, and NS-fivebranes on 3-cycles. We first obtain the solutions for the Romans' six-dimensional gauged…

High Energy Physics - Theory · Physics 2010-02-03 Carlos Nunez , I. Y. Park , Martin Schvellinger , Tuan A. Tran

We give a gentle introduction to the global geometric formulation of the bosonic sector of four-dimensional supergravity on an oriented four-manifold $M$ of arbitrary topology, providing a geometric characterization of its U-duality group.…

Differential Geometry · Mathematics 2021-07-02 C. I. Lazaroiu , C. S. Shahbazi

We develop a Born-Infeld type theory for gravity in any dimension. We show that in four dimensions our formalism allows a self-dual (or anti-self dual) Born-Infeld gravity description. Moreover, we show that such a self-dual action is…

High Energy Physics - Theory · Physics 2009-11-10 J. A. Nieto

We prove a duality, recently conjectured in arXiv:1103.5726, which relates the F-terms of supersymmetric gauge theories defined in two and four dimensions respectively. The proof proceeds by a saddle point analysis of the four-dimensional…

High Energy Physics - Theory · Physics 2011-09-13 Heng-Yu Chen , Nick Dorey , Timothy J. Hollowood , Sungjay Lee

Electric-magnetic duality and higher dimensional analogues are obtained as symmetries in generalized coset constructions, similar to the axial-vector duality of two dimensional coset models described by Rocek and Verlinde. We also study…

High Energy Physics - Theory · Physics 2009-10-28 J. L. F. Barbon