2015/04/30 by Martin Heinze, Ben Hoare, George Jorjadze +1 · 10 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Canonical coordinates #Canonical quantization #Coset #Hamiltonian (control theory) #Noether's theorem #Orbit (dynamics) #Phase space #Poisson bracket #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #hep-th #msc:17B08 #msc:53D50 #msc:81S10
paper · pdf · doi:10.1088/1751-8113/48/31/315403
published in Journal of Physics A Mathematical and Theoretical 48(31), 315403 (Institute of Physics) · 19 pages; v2: typos corrected, references added, matches published version
openalex publication_date 2015/07/20 · openalex created_date 2016/06/24 · arxiv created 2016/11/07 · arxiv updated 2016/11/08 · openalex updated_date 2026/08/05
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 the massless case.