New superparticle models in AdS superspaces

Recently, new superparticle models have been proposed in the $\mathcal{N}$-extended four and five-dimensional anti-de Sitter (AdS) superspaces, AdS${}^{4\mathrm{\mid }4\mathcal{N}}$ and AdS${}^{5\mathrm{\mid }8\mathcal{N}}$, making use of a unique quadratic deformation to the AdS supersymmetric interval. In this paper we extend these considerations to the three and two-dimensional cases, and propose new two-derivative models for superparticles propagating in these AdS superspaces.