1 research outputs found
Embedding formalism for -extended AdS superspace in four dimensions
The supertwistor and bi-supertwistor formulations for -extended
anti-de Sitter (AdS) superspace in four dimensions, , were derived two years ago in arXiv:2108.03907. In the present paper, we
introduce a novel realisation of the -extended AdS supergroup
and apply it to develop a coset
construction for and the corresponding differential
geometry. This realisation naturally leads to an atlas on (that is a generalisation of the stereographic projection
for a sphere) that consists of two charts with chiral transition functions for
. A manifestly
invariant model for a superparticle in is proposed.
Additionally, by employing a conformal superspace approach, we describe the
most general conformally flat -extended supergeometry. This
construction is then specialised to the case of .Comment: 49 page