Hidden symmetries on toric Sasaki-Einstein spaces

作者:Slesar V*; Visinescu M; Vilcu G E
来源:EPL, 2015, 110(3): 31001.
DOI:10.1209/0295-5075/110/31001

摘要

We describe the construction of Killing-Yano tensors on toric Sasaki-Einstein manifolds. We use the fact that the metric cones of these spaces are Calabi-Yau manifolds. The description of the Calabi-Yau manifolds in terms of toric data, using the Delzant approach to toric geometries, allows us to find explicitly the complex coordinates and write down the Killing-Yano tensors. As a concrete example we present the complete set of special Killing forms on the five-dimensional homogeneous Sasaki-Einstein manifold T-1,T-1.

  • 出版日期2015-5