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Conformally compactified Minkowski superspaces revisited

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Abstract

Starting from the standard supertwistor realizations for conformally compactified \( \mathcal{N}\hbox{-}\mathrm{extended} \) Minkowski superspaces in three and four space-time dimensions, we elaborate on alternative realizations in terms of graded two-forms on the dual supertwistor spaces. The construction is further generalized to the cases of 4D \( \mathcal{N}=2 \) and 3D \( \mathcal{N}\hbox{-}\mathrm{extended} \) harmonic/projective superspaces. We present a superconformal Fourier expansion of tensor superfields on the 4D \( \mathcal{N}=2 \) harmonic/projective superspace.

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  1. School of Physics M013, The University of Western Australia, 35 Stirling Highway, Crawley, W.A., 6009, Australia

    Sergei M. Kuzenko

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Kuzenko, S.M. Conformally compactified Minkowski superspaces revisited. J. High Energ. Phys. 2012, 135 (2012). https://doi.org/10.1007/JHEP10(2012)135

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