Resolutions of Cones over Einstein-Sasaki Spaces
arXiv:hep-th/0605222 · doi:10.1016/j.nuclphysb.2007.04.017
Abstract
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 bundle over an Einstein-Kahler manifold.
Latex, 23 pages
References in corpus (2)
Cited by in corpus (11)
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