New Einstein-Sasaki spaces in five and higher dimensions

Apr, 2005
4 pages
Published in:
  • Phys.Rev.Lett. 95 (2005) 071101
e-Print:
Report number:
  • UPR1116-T,
  • MIFP-05-09,
  • ALBERTA-THY-06-05

Citations per year

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Abstract:
We obtain infinite classes of new Einstein-Sasaki metrics on complete and non-singular manifolds. They arise, after Euclideanisation, from BPS limits of the rotating Kerr-de Sitter black hole metrics. The new Einstein-Sasaki spaces L^{p,q,r} in five dimensions have cohomogeneity 2, and U(1) x U(1) x U(1) isometry group. They are topologically S^2 x S^3. Their AdS/CFT duals will describe quiver theories on the four-dimensional boundary of AdS_5. We also obtain new Einstein-Sasaki spaces of cohomogeneity n in all odd dimensions D=2n+1 \ge 5, with U(1)^{n+1} isometry.
  • 04.50.+h
  • 04.20.Jb
  • black holes
  • string theory
  • conformal field theory
  • topology
  • general relativity
  • Einstein equation: solution
  • space-time: higher-dimensional
  • supergravity