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Embedding formalism for $(p,q)$ AdS superspaces in three dimensions

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arxiv 2303.03082 v3 pith:OOR7S3BS submitted 2023-03-06 hep-th gr-qcmath-phmath.MP

Sergei M. Kuzenko , Kai Turner This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords superspacesdimensionsembeddingformalismthreeanalogueanti-deconformal
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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 Ba\~nados 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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  1. 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.

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