Journal of High Energy Physics (Jun 2023)

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

  • Sergei M. Kuzenko,
  • Kai Turner

DOI
https://doi.org/10.1007/JHEP06(2023)142
Journal volume & issue
Vol. 2023, no. 6
pp. 1 – 39

Abstract

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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 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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