  We construct explicit Einstein-Kahler metrics in all even dimensions D=2n+4
\ge 6, in terms of a $2n$-dimensional Einstein-Kahler base metric. These are
cohomogeneity 2 metrics which have the new feature of including a NUT-type
parameter, in addition to mass and rotation parameters. Using a canonical
construction, these metrics all yield Einstein-Sasaki metrics in dimensions
D=2n+5 \ge 7. As is commonly the case in this type of construction, for
suitable choices of the free parameters the Einstein-Sasaki metrics can extend
smoothly onto complete and non-singular manifolds, even though the underlying
Einstein-Kahler metric has conical singularities. We discuss some explicit
examples in the case of seven-dimensional Einstein-Sasaki spaces. These new
spaces can provide supersymmetric backgrounds in M-theory, which play a role in
the AdS_4/CFT_3 correspondence.

High Energy Physics - Theory