Conformally compactified Minkowski superspaces revisited

Abstract

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.

29 pages; V2: typos corrected, references and comments added; V3: eqs. (5.11) and (6.10) modified, reference added

References in corpus (5)

• Spinning Conformal Blocks
• Off-shell superconformal nonlinear sigma-models in three dimensions
• Superembedding methods for 4d N=1 SCFTs
• Superembedding methods for 4d N-extended SCFTs
• Embedding vs. 6D twistors

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