Orbit method quantization of the AdS2 superparticle

We consider the Hamiltonian reduction and canonical quantization of a massive AdS(2) superparticle realized on the coset OSP(1|2) SO(1,1). The phase space of the massive superparticle is represented as a coadjoint orbit of a timelike element of osp(1|2). This orbit has a well defined symplectic structure and the OSP(1|2) symmetry is realized as the Poisson bracket algebra of the Noether charges. We then construct canonical coordinates given by one bosonic and one fermionic oscillator, whose quantization leads to the Holstein-Primakoff type realization of osp(1|2). We also perform a similar analysis and discuss new features and inconsistencies in themassless case.