English

Special Killing forms on toric Sasaki-Einstein manifolds

Mathematical Physics 2014-11-27 v2 High Energy Physics - Theory math.MP

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 55-dimensional Yp,qY^{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].

Keywords

Cite

@article{arxiv.1403.1015,
  title  = {Special Killing forms on toric Sasaki-Einstein manifolds},
  author = {Vladimir Slesar and Mihai Visinescu and Gabriel Eduard Vilcu},
  journal= {arXiv preprint arXiv:1403.1015},
  year   = {2014}
}

Comments

15 pages, version accepted for publication in Physica Scripta

R2 v1 2026-06-22T03:20:23.931Z