Toric data, Killing forms and complete integrability of geodesics in Sasaki-Einstein spaces $Y^{p,q}$
Mathematical Physics
2015-08-11 v1 High Energy Physics - Theory
math.MP
Abstract
In the present paper we show that the complete list of special Killing forms on the 5-dimensional Sasaki-Einstein spaces can be extracted using the symplectic potential and the classical Delzant construction. The results achieved here agree with previous ones obtained by direct computation, proving the reliability of the method which stands in fact as a general algorithm for toric Sasaki-Einstein manifolds. Finally, we discuss the integrability of geodesic motion in spaces.
Keywords
Cite
@article{arxiv.1506.04483,
title = {Toric data, Killing forms and complete integrability of geodesics in Sasaki-Einstein spaces $Y^{p,q}$},
author = {Vladimir Slesar and Mihai Visinescu and Gabriel Eduard Vilcu},
journal= {arXiv preprint arXiv:1506.04483},
year = {2015}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:1503.00443