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Covariant procedures for perturbative non-linear deformation of duality-invariant theories
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We analyze a recent conjecture regarding the perturbative construction of non-linear deformations of all classically duality invariant theories, including N=8 supergravity. Starting with an initial quartic deformation, we engineer a procedure that generates a particular non-linear deformation (Born-Infeld) of the Maxwell theory. This procedure requires the introduction of an infinite number of modifications to a constraint which eliminates degrees of freedom consistent with the duality and field content of the system. We discuss the extension of this procedure to N=1 and N=2 supersymmetric theories, and comment on its potential to either construct new supergravity theories with non-linear Born-Infeld type duality, or to constrain the finiteness of N=8 supergravity.
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Cited by 2 Pith papers
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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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