Paper
Anti-de Sitter flag superspace
Authors
Nowar E. Koning, Sergei M. Kuzenko
Abstract
This work aims to develop a global formulation for harmonic/projective anti-de Sitter (AdS) superspace that allows for a simple action of superconformal (and hence AdS isometry) transformations. First of all, we provide an alternative supertwistor description of the -extended AdS superspace in four dimensions, AdS, which corresponds to a realisation of the connected component of the AdS isometry supergroup as . The proposed realisation yields the following properties: (i) AdS is an open domain of the compactified -extended Minkowski superspace, ; (ii) the infinitesimal -extended superconformal transformations naturally act on AdS; and (iii) the isometry transformations of AdS are described by those superconformal transformations which obey a certain constraint. The obtained results for AdS are then applied to develop a supertwistor formulation for an AdS flag superspace that we identify with the harmonic/projective AdS superspace. This construction makes it possible to read off the superconformal and AdS isometry transformations acting on the analytic subspace of the harmonic superspace.