Isometry group orbit quantization of spinning strings in AdS3 × S3. (6th March 2015)

• Record Type: Journal Article
• Authors: Heinze, Martin; Jorjadze, George; Megrelidze, Luka
• Is Part Of: Journal of physics. Volume 48:Number 12(2015)
• Publication Date: 2015-03-06
• Subjects: AdS/CFT correspondence -- AdS3 × S3 -- co-adjoint orbit method -- string solutions -- energy spectrum; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/12/125401
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Describing the bosonic AdS S 3 particle and string in SU(1, 1) × SU(2) group variables, we provide a Hamiltonian treatment of the isometry group orbits of solutions via analysis of the pre-symplectic form. For the particle we obtain a one-parameter family of orbits parameterized by creation–annihilation variables, which leads to the Holstein–Primakoff realization of the isometry group generators. The scheme is then applied to spinning string solutions characterized by one winding number in AdS3 and two winding numbers in S 3 . We find a two-parameter family of orbits, where quantization again provides the Holstein–Primakoff realization of the symmetry generators with an oscillator-type energy spectrum. Analyzing the minimal energy at strong coupling, we verify the spectrum of short strings at special values of winding numbers.