KILLING FORMS ON TORIC SASAKI-EINSTEIN SPACES

Abstract

We summarize recent results on the construction of Killing forms on Sasaki-Einstein manifolds. The complete set of special Killing forms of the Sasaki-Einstein spaces are presented. It is pointed out the existence of two additional Killing forms associated with the complex holomorphic volume form of Calabi-Yau cone manifold. In the case of toric Sasaki-Einstein manifolds the Killing forms are expressed in terms of toric data.