Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity

We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is Born-Infeld theory with $n$ abelian gauge fields and with S...

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Detalles Bibliográficos
Autores principales: Aschieri, Paolo, Ferrara, Sergio, Zumino, Bruno
Lenguaje:eng
Publicado: 2008
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1393/ncr/i2008-10038-8
http://cds.cern.ch/record/1117360
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author Aschieri, Paolo
Ferrara, Sergio
Zumino, Bruno
author_facet Aschieri, Paolo
Ferrara, Sergio
Zumino, Bruno
author_sort Aschieri, Paolo
collection CERN
description We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is Born-Infeld theory with $n$ abelian gauge fields and with Sp(2n,R) self-duality. We then review duality symmetry in supergravity theories. In the case of N=2 supergravity duality rotations are in general not a symmetry of the theory but a key ingredient in order to formulate the theory itself. This is due to the beautiful relation between the geometry of special Kaehler manifolds and duality rotations.
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publishDate 2008
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spelling cern-11173602023-03-12T04:44:34Zdoi:10.1393/ncr/i2008-10038-8http://cds.cern.ch/record/1117360engAschieri, PaoloFerrara, SergioZumino, BrunoDuality Rotations in Nonlinear Electrodynamics and in Extended SupergravityParticle Physics - TheoryWe review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is Born-Infeld theory with $n$ abelian gauge fields and with Sp(2n,R) self-duality. We then review duality symmetry in supergravity theories. In the case of N=2 supergravity duality rotations are in general not a symmetry of the theory but a key ingredient in order to formulate the theory itself. This is due to the beautiful relation between the geometry of special Kaehler manifolds and duality rotations.We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is Born-Infeld theory with n Abelian gauge fields and with Sp(2n, ℝ) self-duality. We then review duality symmetry in supergravity theories. In the case of N = 2 supergravity duality rotations are in general not a symmetry of the theory but a key ingredient in order to formulate the theory itself. This is due to the beautiful relation between the geometry of special Kahler manifolds and duality rotations.We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are established. A nontrivial example is Born-Infeld theory with n abelian gauge fields and with Sp(2n,R) self-duality. We then review duality symmetry in supergravity theories. In the case of N=2 supergravity duality rotations are in general not a symmetry of the theory but a key ingredient in order to formulate the theory itself. This is due to the beautiful relation between the geometry of special Kaehler manifolds and duality rotations.arXiv:0807.4039CERN-PH-TH-2008-144DESTA-UPO-08LBNL-69756CERN-PH-TH-2008-144oai:cds.cern.ch:11173602008-07-28
spellingShingle Particle Physics - Theory
Aschieri, Paolo
Ferrara, Sergio
Zumino, Bruno
Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity
title Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity
title_full Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity
title_fullStr Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity
title_full_unstemmed Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity
title_short Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity
title_sort duality rotations in nonlinear electrodynamics and in extended supergravity
topic Particle Physics - Theory
url https://dx.doi.org/10.1393/ncr/i2008-10038-8
http://cds.cern.ch/record/1117360
work_keys_str_mv AT aschieripaolo dualityrotationsinnonlinearelectrodynamicsandinextendedsupergravity
AT ferrarasergio dualityrotationsinnonlinearelectrodynamicsandinextendedsupergravity
AT zuminobruno dualityrotationsinnonlinearelectrodynamicsandinextendedsupergravity

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