Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory

We review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry. We study in particular on shell and off shell formulations of this symmetry, at the level of action functionals as well as of equations of motio...

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Detalles Bibliográficos
Autores principales: Aschieri, Paolo, Ferrara, Sergio, Theisen, Stefan
Lenguaje:eng
Publicado: 2013
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-03774-5_2
http://cds.cern.ch/record/1609165
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author Aschieri, Paolo
Ferrara, Sergio
Theisen, Stefan
author_facet Aschieri, Paolo
Ferrara, Sergio
Theisen, Stefan
author_sort Aschieri, Paolo
collection CERN
description We review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry. We study in particular on shell and off shell formulations of this symmetry, at the level of action functionals as well as of equations of motion. We prove the conjecture that the action functional leading to Born-Infeld nonlinear electromagnetism, that is duality rotation invariant off shell and that is known to be a root of an algebraic equation of fourth order, is a hypergeometric function.
id cern-1609165
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2013
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spelling cern-16091652019-09-30T06:29:59Zdoi:10.1007/978-3-319-03774-5_2http://cds.cern.ch/record/1609165engAschieri, PaoloFerrara, SergioTheisen, StefanConstitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theoryParticle Physics - TheoryWe review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry. We study in particular on shell and off shell formulations of this symmetry, at the level of action functionals as well as of equations of motion. We prove the conjecture that the action functional leading to Born-Infeld nonlinear electromagnetism, that is duality rotation invariant off shell and that is known to be a root of an algebraic equation of fourth order, is a hypergeometric function.We review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry. We study in particular on shell and off shell formulations of this symmetry, at the level of action funcitonals as well as of equations of motion. We prove the conjecture that the action functional leading to Born-Infeld nonlinear electromagnetism, that is duality rotation invariant off shell and that is known to be a root of an algebraic equation of fourth order, is a hypergeometric function.We review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry. We study in particular on shell and off shell formulations of this symmetry, at the level of action functionals as well as of equations of motion. We prove the conjecture that the action functional leading to Born-Infeld nonlinear electromagnetism, that is duality rotation invariant off shell and that is known to be a root of an algebraic equation of fourth order, is a hypergeometric function.CERN-PH-TH-2013-238arXiv:1310.2803CERN-PH-TH-2013-238oai:cds.cern.ch:16091652013-10-10
spellingShingle Particle Physics - Theory
Aschieri, Paolo
Ferrara, Sergio
Theisen, Stefan
Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
title Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
title_full Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
title_fullStr Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
title_full_unstemmed Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
title_short Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
title_sort constitutive relations, off shell duality rotations and the hypergeometric form of born-infeld theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/978-3-319-03774-5_2
http://cds.cern.ch/record/1609165
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AT ferrarasergio constitutiverelationsoffshelldualityrotationsandthehypergeometricformofborninfeldtheory
AT theisenstefan constitutiverelationsoffshelldualityrotationsandthehypergeometricformofborninfeldtheory

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