A New Construction of Einstein-Sasaki Metrics in D >= 7

Details A New Construction of Einstein-Sasaki Metrics in D >= 7 A New Construction of Einstein-Sasaki Metrics in D >= 7

2005-12-23

arxiv.org/abs/hep-th/0512306v2

Phys.Rev.D75:026005,2007

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 18 pages, 2 figures, minor typos corrected

Scientific paper

10.1103/PhysRevD.75.026005

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.

Affiliated with

Also associated with

No associations

Rating

A New Construction of Einstein-Sasaki Metrics in D >= 7 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A New Construction of Einstein-Sasaki Metrics in D >= 7, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Construction of Einstein-Sasaki Metrics in D >= 7 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-149729