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Supertwistor realisations of AdS superspaces

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arxiv 2108.03907 v2 pith:ARKYK2YT submitted 2021-08-09 hep-th math-phmath.MP

Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords dimensionssuperspacesfunctionextendedfourrealisationssuperspacesupertwistor
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abstract

We propose supertwistor realisations of $(p,q)$ anti-de Sitter (AdS) superspaces in three dimensions and $\cal N$-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 $\cal N$-extended AdS superspace in four dimensions and harmonic/projective extensions of $(p,q)$ AdS superspaces in three dimensions.

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  1. The anti-de Sitter supergeometry revisited

    hep-th 2024-12 conditional novelty 6.0 of 10

    AdS^{4|4N} is shown to be conformally flat for all N via two explicit supervielbeins, and the U(N) versus O(N) structure group relation is established.

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