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.