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Towards the complete N=2 superfield Born-Infeld action with partially broken N=4 supersymmetry

S. Bellucci·E. Ivanov·S. Krivonos
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Abstract

We propose a systematic way of constructing $N=2, d=4$ superfield Born-Infeld action with a second nonlinearly realized N=2 supersymmetry. The latter, together with the manifest N=2 supersymmetry, form a central-charge extended $N=4, d=4$ supersymmetry. We embed the Goldstone-Maxwell N=2 multiplet into an infinite-dimensional off-shell supermultiplet of this N=4 supersymmetry and impose an infinite set of covariant constraints which eliminate all extra N=2 superfields through the Goldstone-Maxwell one. The Born-Infeld superfield Lagrangian density is one of these composite superfields. The constraints can be solved by iterations to any order in the fields. We present the sought N=2 Born-Infeld action up to the 10th order. It encompasses the action found earlier by Kuzenko and Theisen to the 8th order from a self-duality requirement. This is a strong indication that the complete N=2 Born-Infeld action with partially broken N=4 supersymmetry is also self-dual.

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S. Bellucci, E. Ivanov, S. Krivonos. 2001-03-20. Towards the complete N=2 superfield Born-Infeld action with partially broken N=4 supersymmetry. https://doi.org/10.1103/physrevd.64.025014

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