Orbit method quantization of the AdS2 superparticle. (20th July 2015)

• Record Type: Journal Article
• Authors: Heinze, Martin; Hoare, Ben; Jorjadze, George; Megrelidze, Luka
• Is Part Of: Journal of physics. Volume 48:Number 31(2015)
• Publication Date: 2015-07-20
• Subjects: AdS/CFT correspondence -- superparticle -- coset superspace -- AdS2 -- OSP -- geometric quantization; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/31/315403
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We consider the Hamiltonian reduction and canonical quantization of a massive AdS2 superparticle realized on the coset SO(1, 1). The phase space of the massive superparticle is represented as a coadjoint orbit of a timelike element of . This orbit has a well defined symplectic structure and the 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 . We also perform a similar analysis and discuss new features and inconsistencies in the massless case.