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Supertwistor realisations of AdS superspaces

High Energy Physics - Theory 2022-03-02 v2 Mathematical Physics math.MP

Abstract

We propose supertwistor realisations of (p,q)(p,q) anti-de Sitter (AdS) superspaces in three dimensions and N\cal N-extended AdS superspaces in four dimensions. For each superspace, we identify a two-point function that is invariant under the corresponding isometry supergroup. This two-point function is a supersymmetric extension (of a function) of the geodesic distance. We also describe a bi-supertwistor formulation for N\cal N-extended AdS superspace in four dimensions and harmonic/projective extensions of (p,q)(p,q) AdS superspaces in three dimensions.

Keywords

Cite

@article{arxiv.2108.03907,
  title  = {Supertwistor realisations of AdS superspaces},
  author = {Sergei M. Kuzenko and Gabriele Tartaglino-Mazzucchelli},
  journal= {arXiv preprint arXiv:2108.03907},
  year   = {2022}
}

Comments

21 pages

R2 v1 2026-06-24T04:56:32.199Z