On $OSp(N|2)$ superconformal mechanics

TL;DR

This paper constructs and analyzes superparticle models with $OSp(N|2)$ supersymmetry, focusing on the $N=4$ case and extending to generic $N$, revealing structural similarities in their Hamiltonians.

Contribution

It introduces new superparticle models with $OSp(N|2)$ symmetry, including $ ext{kappa}$-symmetric and semi-dynamical variants, expanding understanding of superconformal mechanics.

Findings

Constructed $ ext{kappa}$-symmetric models for $N=4$ on $OSp(4|2)$ cosets.

Presented a superparticle model with semi-dynamical angular variables.

Showed Hamiltonian structure is consistent across different $N$ due to fermionic contributions.

Abstract

Superparticle models with $OSp(N|2)$ supersymmetry group are studied. We first consider the $N=4$ case and construct the models with $\kappa$-symmetry on the coset spaces of the $OSp(4|2)$ supergroup. In addition, within the canonical formalism we present an $OSp(4|2)$ superparticle model with semi-dynamical angular variables. For generic $N$ we construct a superparticle model on $AdS_2\times S^{N-1}$ with the reduced $\kappa$-symmetry. It is demonstrated that the Hamiltonian of this model has the same structure as the one for the $N=4$ case because additional fermions contribute to the second-class constraints only.