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arXiv · 2108.03907

Supertwistor realisations of AdS superspaces

Sergei M. Kuzenko·Gabriele Tartaglino-Mazzucchelli
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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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Sergei M. Kuzenko, Gabriele Tartaglino-Mazzucchelli. 2021-08-09. Supertwistor realisations of AdS superspaces. https://doi.org/10.1140/epjc%2Fs10052-022-10072-y

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