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Duality rotations in supersymmetric nonlinear electrodynamics revisited
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We revisit the U(1) duality-invariant nonlinear models for N=1 and N=2 vector multiplets coupled to off-shell supergravities. For such theories we develop new formulations which make use of auxiliary chiral superfields (spinor in the N=1 case and scalar for N=2) and are characterized by the remarkable property that U(1) duality invariance is equivalent to the manifest U(1) invariance of the self-interaction. Our construction is inspired by the non-supersymmetric approach that was proposed by Ivanov and Zupnik a decade ago and recently re-discovered in the form of twisted self-duality.
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Cited by 3 Pith papers
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Causal self-dual nonlinear electrodynamics from the Born-Infeld theory
Auxiliary-field construction from Born-Infeld seed yields causal self-dual nonlinear electrodynamics that generally solve the self-duality equations.
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Manifestly duality-invariant interactions in diverse dimensions
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.
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Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type
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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