English

Conformally compactified Minkowski superspaces revisited

High Energy Physics - Theory 2015-06-05 v3 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1206.3940,
  title  = {Conformally compactified Minkowski superspaces revisited},
  author = {Sergei M. Kuzenko},
  journal= {arXiv preprint arXiv:1206.3940},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T21:21:18.326Z