Orbit method quantization of the AdS2 superparticle

by Martin Heinze (Univ. Hamburg)

Thursday 25 Jun 2015, 13:15 → 14:15 Europe/Stockholm

122:026

In this talk I review recent work (arXiv:1504.04175) on the Hamiltonian reduction and canonical quantization of a massive AdS2 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. Canonical coordinates are constructed, given by one bosonic and one fermionic oscillator, whose quantization leads to the Holstein-Primakoff type realization of 𝔬𝔰𝔭(1|2). Similar analysis is performed for the massless case and new features and inconsistencies are discussed.