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

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.

arXiv comment44 pages; V2: typos corrected; V3: typos corrected

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Cited by in corpus (2)

• Embedding formalism for $\mathcal{N}$-extended AdS superspace in four dimensions
• The anti-de Sitter supergeometry revisited