New superparticle models in AdS superspaces

TL;DR

This paper extends recent superparticle models in higher-dimensional AdS superspaces to two- and three-dimensional cases, introducing new two-derivative models using quadratic deformations of the supersymmetric interval.

Contribution

It presents novel superparticle models in lower-dimensional AdS superspaces, expanding the framework to 2D and 3D with new two-derivative formulations.

Findings

New superparticle models in 2D and 3D AdS superspaces.

Use of quadratic deformation in constructing models.

Extension of higher-dimensional frameworks to lower dimensions.

Abstract

Recently, new superparticle models have been proposed in the $\mathcal{N}$-extended four and five-dimensional anti-de Sitter (AdS) superspaces, AdS$^{4|4\mathcal{N}}$ and AdS$^{5|8\mathcal{N}}$, 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.