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APS » Journals » Phys. Rev. Lett. » Volume 95 » Issue 7
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Phys. Rev. Lett. 95, 071101 (2005) [4 pages]

New Einstein-Sasaki Spaces in Five and Higher Dimensions

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M. Cvetič1, H. Lü2, Don N. Page3, and C. N. Pope2
1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
2George P. & Cynthia W. Mitchell Institute for Fundamental Physics, Texas A&M University, College Station, Texas 77843, USA
3Theoretical Physics Institute, 412 Physics Laboratory, University of Alberta, Edmonton, Canada

Received 4 May 2005; published 8 August 2005

We obtain infinite classes of new Einstein-Sasaki metrics on complete and nonsingular manifolds. They arise, after Euclideanization, from BPS limits of the rotating Kerr–de Sitter black hole metrics. The new Einstein-Sasaki spaces Lp,q,r in five dimensions have cohomogeneity 2 and U(1)×U(1)×U(1) isometry group. They are topologically S2×S3. Their AdS/CFT duals describe quiver theories on the four-dimensional boundary of AdS5. We also obtain new Einstein-Sasaki spaces of cohomogeneity n in all odd dimensions D=2n+1≥5, with U(1)n+1 isometry.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.071101
DOI:
10.1103/PhysRevLett.95.071101
PACS:
04.20.Jb, 04.50.+h
 
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