2024/06/16 by Koning, Nowar E., Kuzenko, Sergei M. · 3 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2406.10875
The standard geometric description of d-dimensional anti-de Sitter (AdS) space is a quadric in \mathbb Rd-1,2 defined by (X0)2 - (X1)2 - … - (Xd-1)2 + (Xd)2 = ℓ2 = const. In this paper we provide a supersymmetric generalisation of this embedding construction in the d=5 case. Specifically, a bi-supertwistor realisation is given for the \cal N-extended AdS superspace AdS5|8\cal N, with \cal N≥ 1. The proposed formalism offers a simple construction of AdS super-invariants. As an example, we present a new model for a massive superparticle in AdS5|8\cal N which is manifestly invariant under the AdS isometry supergroup SU(2,2|\cal N) and involves two independent two-derivative terms.