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

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arxiv 1310.2803 v1 pith:N62INEM2 submitted 2013-10-10 hep-th math-phmath.MP

Paolo Aschieri , Sergio Ferrara , Stefan Theisen This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords shelldualityactionborn-infeldelectromagnetismformulationshypergeometricnonlinear
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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.

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Cited by 2 Pith papers

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  1. Manifestly duality-invariant interactions in diverse dimensions

    hep-th 2019-08 conditional novelty 5.0 of 10

    For a gauge (2p-1)-form in d=4p dimensions, a U(1) duality-invariant theory is reformulated so that the self-interactions of an auxiliary tensor are manifestly U(1) invariant.

  2. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0 of 10

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

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