Abstract
We develop an embedding formalism for (p, q) anti-de Sitter (AdS) superspaces in three dimensions by using a modified version of their supertwistor description given in the literature. A coset construction for these superspaces is worked out. We put forward a program of constructing a supersymmetric analogue of the Bañados metric, which is expected to be a deformation of the (p, q) AdS superspace geometry by a two-dimensional conformal (p, q) supercurrent multiplet.
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Acknowledgments
We are grateful to Stefan Theisen for bringing ref. [19] to our attention, and to Gabriele Tartaglino-Mazzucchelli for email correspondence. The work of SMK is supported in part by the Australian Research Council, projects DP200101944 and DP230101629. The work of KT is supported by the Australian Government Research Training Program Scholarship.
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Kuzenko, S.M., Turner, K. Embedding formalism for (p, q) AdS superspaces in three dimensions. J. High Energ. Phys. 2023, 142 (2023). https://doi.org/10.1007/JHEP06(2023)142
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DOI: https://doi.org/10.1007/JHEP06(2023)142