https://doi.org/10.1140/epjc/s10052-022-10072-y
Regular Article - Theoretical Physics
Supertwistor realisations of AdS superspaces
1
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
b
g.tartaglino-mazzucchelli@uq.edu.au
Received:
1
November
2021
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.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3
