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Conformally flat supergeometry in five dimensions

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arxiv 0804.1219 v3 pith:2NCKOX2Y submitted 2008-04-08 hep-th

Sergei M. Kuzenko , Gabriele Tartaglino-Mazzucchelli This is my paper · ORCID
classification hep-th
keywords superspaceconformallyflatdimensionsfivetheoriesanti-dearxiv
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Using the superspace formulation for the 5D N = 1 Weyl supermultiplet developed in arXiv:0802.3953, we elaborate the concept of conformally flat superspace in five dimensions. For a large family of supersymmetric theories (including sigma-models and Yang-Mills theories) in the conformally flat superspace, we describe an explicit procedure to formulate their dynamics in terms of rigid 4D N = 1 superfields. The case of 5D N = 1 anti-de Sitter superspace is discussed as an example.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New superparticle models in AdS superspaces

    hep-th 2025-06 conditional novelty 6.0 of 10

    New two-derivative superparticle actions are constructed in 3D and 2D AdS superspaces using a quadratic deformation of the supersymmetric interval built from the torsion superfield.

  2. The anti-de Sitter supergeometry revisited

    hep-th 2024-12 conditional novelty 6.0 of 10

    AdS^{4|4N} is shown to be conformally flat for all N via two explicit supervielbeins, and the U(N) versus O(N) structure group relation is established.

  3. Embedding formalism for anti-de Sitter superspaces

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    Develops bi-supertwistor realizations and extensions for N-extended AdS superspaces in 4D/5D with supergravity correspondence and superparticle applications.

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