Construction of Einstein-Sasaki metrics inD≥7 Academic Article uri icon


  • We construct explicit Einstein-Kähler metrics in all even dimensions D=2n+4 ≥ 6, in terms of a 2n-dimensional Einstein-Kähler base metric. These are cohomogeneity 2 metrics which have the new feature of including a NUT-type parameter, or gravomagnetic charge, in addition to.." in addition to mass and rotation parameters. Using a canonical construction, these metrics all yield Einstein-Sasaki metrics in dimensions D=2n+5 ≥ 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 nonsingular manifolds, even though the underlying Einstein-Kähler 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 rôle in the AdS4/CFT3 correspondence. © 2007 The American Physical Society.

published proceedings

  • Physical Review D

author list (cited authors)

  • Lü, H., Pope, C. N., & Vázquez-Poritz, J. F.

citation count

  • 13

complete list of authors

  • Lü, H||Pope, CN||Vázquez-Poritz, JF

publication date

  • January 2007