New Einstein-Sasaki Spaces in Five and Higher Dimensions
Abstract
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.
- Publication:
-
Physical Review Letters
- Pub Date:
- August 2005
- DOI:
- 10.1103/PhysRevLett.95.071101
- arXiv:
- arXiv:hep-th/0504225
- Bibcode:
- 2005PhRvL..95g1101C
- Keywords:
-
- 04.20.Jb;
- 04.50.+h;
- Exact solutions;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Mathematics - Differential Geometry
- E-Print:
- Revtex, 4 pages, metric regularity conditions are further refined