Abstract
The self-duality of the N = 1 supersymmetric Born-Infeld action implies a double self-duality of the tensor multiplet square-root action when the scalar and the antisymmetric tensor are interchanged via Poincaré duality. We show how this phenomenon extends to D space-time dimensions for non-linear actions involving pairs of forms of rank p and D − p − 2. As a byproduct, we construct a new two-field generalization of the Born-Infeld action whose equations of motion are invariant under a U(1) duality. In these systems, the introduction of Green-Schwarz terms results in explicit non-linear mass-like terms for dual massive pairs.
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Ferrara, S., Sagnotti, A. & Yeranyan, A. Doubly self-dual actions in various dimensions. J. High Energ. Phys. 2015, 51 (2015). https://doi.org/10.1007/JHEP05(2015)051
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DOI: https://doi.org/10.1007/JHEP05(2015)051