Employing the coset approach we construct component actions for a superparticle moving in AdS$_3$ with $N{ =}(2,0)$, $D{ =}3$ supersymmetry partially broken to $N{ =}2$, $d{ =}1$. These actions may contain higher time-derivative terms, which are chosen to possess the same (super)symmetries as the free superparticle. In terms of the nonlinear-realization superfields, the component actions always take a simpler form when written in terms of covariant Cartan forms. We also consider in detail the reduction to the nonrelativistic case and construct the corresponding action a Newton-Hooke superparticle and its higher-derivative generalizations. The structure of these higher time-derivative generalizations is completely fixed by invariance under the supersymmetric Newton-Hooke algebra extended by two central charges.
Categories: hep-th