Resolutions of Cones over Einstein-Sasaki Spaces

Details Resolutions of Cones over Einstein-Sasaki Spaces Resolutions of Cones over Einstein-Sasaki Spaces

2006-05-22

arxiv.org/abs/hep-th/0605222v1

Nucl.Phys.B782:171-188,2007

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 23 pages

Scientific paper

10.1016/j.nuclphysb.2007.04.017

Recently an explicit resolution of the Calabi-Yau cone over the inhomogeneous five-dimensional Einstein-Sasaki space Y^{2,1} was obtained. It was constructed by specialising the parameters in the BPS limit of recently-discovered Kerr-NUT-AdS metrics in higher dimensions. We study the occurrence of such non-singular resolutions of Calabi-Yau cones in a more general context. Although no further six-dimensional examples arise as resolutions of cones over the L^{pqr} Einstein-Sasaki spaces, we find general classes of non-singular cohomogeneity-2 resolutions of higher-dimensional Einstein-Sasaki spaces. The topologies of the resolved spaces are of the form of an R^2 bundle over a base manifold that is itself an $S^2$ bundle over an Einstein-Kahler manifold.

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