On OSp(N |2) superconformal mechanics

Abstract

Abstract Superparticle models with OSp(N |2) supersymmetry group are studied. We first consider the N = 4 case and construct the models with κ-symmetry on the coset spaces of the OSp(N |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 × S N −1 with the reduced κ-symmetry. It is demonstrated that the Hamiltonian of this model has the same structure as the one for the N = 4 casebecauseadditionalfermionscontributetothesecond-classconstraintsonly.