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Conformally compactified Minkowski superspaces revisited

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arxiv 1206.3940 v3 pith:5KP7HIT7 submitted 2012-06-18 hep-th math-phmath.MP

classification hep-thmath-phmath.MP
keywords superspacescompactifiedconformallyharmonicminkowskin-extendedprojectiverealizations
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Starting from the standard supertwistor realizations for conformally compactified N-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 N=2 and 3D N-extended harmonic/projective superspaces. We present a superconformal Fourier expansion of tensor superfields on the 4D N=2 harmonic/projective superspace.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Supersymmetry, differential operators of infinite order and theta functions

    math.AG 2026-08 conditional novelty 7.0 of 10

    Theta-null values are characterized as the unique solutions of a manifestly modular-invariant system of differential equations of infinite order built from the supersymmetry algebra osp(1|2n).

  2. Embedding formalism for anti-de Sitter superspaces

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.

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