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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 arecohomogeneity 2 metrics which have the new feature of including a NUT-typeparameter, in addition to mass and rotation parameters. Using a canonicalconstruction, these metrics all yield Einstein-Sasaki metrics in dimensionsD=2n+5 \ge 7. As is commonly the case in this type of construction, forsuitable choices of the free parameters the Einstein-Sasaki metrics can extendsmoothly onto complete and non-singular manifolds, even though the underlyingEinstein-Kahler metric has conical singularities. We discuss some explicitexamples in the case of seven-dimensional Einstein-Sasaki spaces. These newspaces can provide supersymmetric backgrounds in M-theory, which play a role inthe AdS_4/CFT_3 correspondence.Comment: Latex, 18 pages, 2 figures, minor typos correcte

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Construction of Einstein-Sasaki metrics in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mo>≥</mml:mo><mml:mn>7</mml:mn></mml:math>

Construction of Einstein-Sasaki metrics inD≥7