Regular Article - Theoretical Physics
Supertwistor realisations of AdS superspaces
Department of Physics M013, The University of Western Australia, 35 Stirling Highway, 6009, Perth, WA, Australia
2 School of Mathematics and Physics, University of Queensland, St Lucia, 4072, Brisbane, QLD, Australia
Accepted: 27 January 2022
Published online: 16 February 2022
We propose supertwistor realisations of (p, q) anti-de Sitter (AdS) superspaces in three dimensions and -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 -extended AdS superspace in four dimensions and harmonic/projective extensions of (p, q) AdS superspaces in three dimensions.
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