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Duality Rotations in Nonlinear Electrodynamics and in Extended Supergravity

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arxiv 0807.4039 v2 pith:MHQJL5IW submitted 2008-07-25 hep-th math-phmath.MP

Paolo Aschieri , Sergio Ferrara , Bruno Zumino This is my paper
classification hep-thmath-phmath.MP
keywords dualitytheoryrotationssupergravitysymmetryfieldsgeneralorder
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

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  1. 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.

  2. On nonlinear self-duality in $4p$ dimensions

    hep-th 2026-01 conditional novelty 4.0 of 10

    Every 4D self-dual nonlinear electrodynamics model extends, via the same L(S,P) ansatz and equation, to U(1) duality-invariant (2p−1)-form theories in 4p dimensions (already in [19]); new here are a ModMax-type deform...

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