Action-angle variables for geodesic motions in Sasaki–Einstein spaces Yp, q. (15th January 2017)

• Record Type: Journal Article
• Authors: Visinescu, Mihai
• Is Part Of: Progress of theoretical and experimental physics. Volume 2017:Number 1(2017:Jan.)
• Publication Date: 2017-01-15
• Subjects: A10; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptw172
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract : We use action-angle variables to describe the geodesic motions in the 5-dimensional Sasaki–Einstein spaces Y p, q . This formulation allows us to study thoroughly the complete integrability of the system. We find that the Hamiltonian involves a reduced number of action variables. Therefore one of the fundamental frequencies is zero, indicating chaotic behavior when the system is perturbed.