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arXiv · 1403.1015

Special Killing forms on toric Sasaki-Einstein manifolds

Vladimir Slesar·Mihai Visinescu·Gabriel Eduard Vilcu
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Abstract

In this paper we study the interplay between complex coordinates on the Calabi-Yau metric cone and the special Killing forms on the toric Sasaki-Einstein manifold. In the general case we give a procedure to locally construct the special Killing forms. In the final part we exemplify the general scheme in the case of the $5-$dimensional $Y^{p,q}$ spaces, identifying the additional special Killing 2-forms which were previously obtained by the second author of the present paper, but with a different method, in [Mod. Phys. Lett. A 27 (2012) 1250217].

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Vladimir Slesar, Mihai Visinescu, Gabriel Eduard Vilcu. 2014-09-29. Special Killing forms on toric Sasaki-Einstein manifolds. https://doi.org/10.1088/0031-8949%2F89%2F12%2F125205

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