Supertwistor realisations of AdS superspaces

Abstract

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