Construction of Einstein-Sasaki metrics in D{>=}7

Journal Article · Mon Jan 15 04:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.026005· OSTI ID:21010947

Lue, H; Pope, C N ^[1]; Vazquez-Poritz, J F ^[2]

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1. George P. and Cynthia W. Mitchell Institute for Fundamental Physics, Texas A and M University, College Station, Texas 77843-4242 (United States)
2. Department of Physics, University of Cincinnati, Cincinnati Ohio 45221-0011 (United States)

We construct explicit Einstein-Kaehler metrics in all even dimensions D=2n+4{>=}6, in terms of a 2n-dimensional Einstein-Kaehler 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-Kaehler 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{sub 4}/CFT{sub 3} correspondence.

• OSTI ID: 21010947
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
CONSTRUCTION
COSMOLOGY
M-THEORY
MANY-DIMENSIONAL CALCULATIONS
METRICS
QUANTUM FIELD THEORY
ROTATION
SINGULARITY
SPACE
SUPERSYMMETRY