Action-angle variables for geodesic motions in Sasaki-Einstein spaces $Y^{p,q}$
High Energy Physics - Theory
2017-01-17 v1
Abstract
We use the action-angle variables to describe the geodesic motions in the -dimensional Sasaki-Einstein spaces . 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 frequency is zero indicating a chaotic behavior when the system is perturbed.
Keywords
Cite
@article{arxiv.1611.01275,
title = {Action-angle variables for geodesic motions in Sasaki-Einstein spaces $Y^{p,q}$},
author = {Mihai Visinescu},
journal= {arXiv preprint arXiv:1611.01275},
year = {2017}
}
Comments
12 pages, to appear in Prog. Theor. Exp. Phys